Faldred
DIS Veteran
- Joined
- Dec 18, 2008
- Messages
- 4,036
FALDRED'S GUIDE TO DINING PLAN CREDIT "VALUES"
CONTENTS
1. Cut to the chase, how much is each credit worth?
2. What does "value" mean?
3. If I don't order that much at every single meal (or snack), am I losing value?
4. How did you come up with these "values"?
5. Ok, let me see the math...
6. Revision history
1. Cut to the chase, how much is each credit worth?
Using $3 as the value of a snack credit, the 2011 credit values are:
Using $2 as the value of a snack credit, the 2011 credit values are:
2. What does "value" mean?
By "value", I'm actually determining the cost per credit to you, the plan user, assuming that you're paying the full price for the relevant dining package. This is to help you to decide if a particular dining plan makes economic sense. If you are consistently getting more for each credit that the stated value/cost, then it's going to make more financial sense than if you don't.
3. If I don't order that much at every single meal (or snack), am I losing value?
I suppose technically, yes. But rather than look at each meal or snack by itself, take into account averages over your entire stay. It's okay to be less than optimal (or even below cost) with some credit uses if you make up for that with larger savings elsewhere.
Note that dinners tend to be better "value" than lunch, and either more so than breakfast. But don't let that stop you from getting a breakfast or lunch on the plan when you feel like it -- it should work out in the end for most people (and if not, doing the math before you book the dining will let you know).
4. How did you come up with these "values"?
High-school algebra, actually. I took the three different plans (DDP, QSDP, and DxDP), and turned each set of entitlements and cost per night into equations, using the different types of credits as my variables. Because I wound up with 4 variables (snack credit, CS credit, TS credit, deluxe meal credit) and only three equations, I had to solve these equations in terms of one of the four variables. I chose snack credits to be this variable, as they're common to all plans, and they have the lowest price and variance in price, so they're easier to estimate a fixed value.
I did make a couple of simplifications. For one, I'm rounding plan costs up to the nearest dollar. No one, I hope, will quibble over fractions of a penny. I also value the resort refillable mug (for QSDP and DxDP) at $0, because otherwise I'd have to deal with a sliding scale of value based on the length of the stay. Suffice it to say that the mug is simply a "bonus" on these plans beyond the credit values.
5. Ok, let me see the math...
If we make the following variables: C (counter service credit), D (deluxe meal credit), S (snack credit), and T (table service credit), and take the plans as simultaneous equations, we get:
Unfortunately, that's four unknowns and three equations. Not good. But let's turn S from a variable to a constant, which reduces our unknowns by 1. Snack credits are pretty limited in value, and they're the one element all plans have in common, so it makes a good choice for turning into a "constant". Now we are left with 3 unknowns and 3 equations, which will give us meaningful results.
Solving the first and third equations, treating S as a constant, yields:
Now that we know what C is, we can solve the second equation:
Curiously, changing the value of S affects only C and D. The value of T is constant regardless of what you change S to. Now, all that's left is to plug in whatever value we choose for "S", and we can compute all three variables. Last year, I used $3 as a snack credit value; for 2011, that would yield:
A CS credit value goes up by the exact amount the snack value drops, and vice-versa. A DxDP meal credit is affected similarly, but scaled by 2/3. So, using different snack credit values, we see:
Similarly, we can solve for child credit values c (child's CS credit), d (child's DxDP meal credit), and t (child's TS credit):
Solving for c and d:
Solving for t, now that we know c:
So, based on our choice of "S", we can determine the values of c and d (since t is a fixed $6.00 value):
The proof is left for the reader to show that the "peak" season pricing increase for basic DDP (an extra $2/night for adults and $1/night for children) applies directly to the value of the DDP TS credit. (As a hint, note that if the CS credit cost changes, this affects the calculation of the QSDP costs, but those don't change!)
6. Revision history
2011-03-03 Converted my original postings to "guide" form
CONTENTS
1. Cut to the chase, how much is each credit worth?
2. What does "value" mean?
3. If I don't order that much at every single meal (or snack), am I losing value?
4. How did you come up with these "values"?
5. Ok, let me see the math...
6. Revision history
1. Cut to the chase, how much is each credit worth?
Using $3 as the value of a snack credit, the 2011 credit values are:
DxDP Meal Credit: $24.33 adult, $5.33 child
TS Credit: $28.50 ($30.50 peak) adult, $6.00 ($7.00 peak) child
CS Credit: $14.50 adult, $3.00 child
TS Credit: $28.50 ($30.50 peak) adult, $6.00 ($7.00 peak) child
CS Credit: $14.50 adult, $3.00 child
Using $2 as the value of a snack credit, the 2011 credit values are:
DxDP Meal Credit: $25.00 adult, $6.00 child
TS Credit: $28.50 ($30.50 peak) adult, $6.00 ($7.00 peak) child
CS Credit: $15.50 adult, $4.00 child
TS Credit: $28.50 ($30.50 peak) adult, $6.00 ($7.00 peak) child
CS Credit: $15.50 adult, $4.00 child
2. What does "value" mean?
By "value", I'm actually determining the cost per credit to you, the plan user, assuming that you're paying the full price for the relevant dining package. This is to help you to decide if a particular dining plan makes economic sense. If you are consistently getting more for each credit that the stated value/cost, then it's going to make more financial sense than if you don't.
3. If I don't order that much at every single meal (or snack), am I losing value?
I suppose technically, yes. But rather than look at each meal or snack by itself, take into account averages over your entire stay. It's okay to be less than optimal (or even below cost) with some credit uses if you make up for that with larger savings elsewhere.
Note that dinners tend to be better "value" than lunch, and either more so than breakfast. But don't let that stop you from getting a breakfast or lunch on the plan when you feel like it -- it should work out in the end for most people (and if not, doing the math before you book the dining will let you know).
4. How did you come up with these "values"?
High-school algebra, actually. I took the three different plans (DDP, QSDP, and DxDP), and turned each set of entitlements and cost per night into equations, using the different types of credits as my variables. Because I wound up with 4 variables (snack credit, CS credit, TS credit, deluxe meal credit) and only three equations, I had to solve these equations in terms of one of the four variables. I chose snack credits to be this variable, as they're common to all plans, and they have the lowest price and variance in price, so they're easier to estimate a fixed value.
I did make a couple of simplifications. For one, I'm rounding plan costs up to the nearest dollar. No one, I hope, will quibble over fractions of a penny. I also value the resort refillable mug (for QSDP and DxDP) at $0, because otherwise I'd have to deal with a sliding scale of value based on the length of the stay. Suffice it to say that the mug is simply a "bonus" on these plans beyond the credit values.
5. Ok, let me see the math...
If we make the following variables: C (counter service credit), D (deluxe meal credit), S (snack credit), and T (table service credit), and take the plans as simultaneous equations, we get:
Deluxe: 3D + 2S = 79
Basic: 1C + 1T + 1S = 46
QSDP: 2C + 2S = 35
Basic: 1C + 1T + 1S = 46
QSDP: 2C + 2S = 35
Unfortunately, that's four unknowns and three equations. Not good. But let's turn S from a variable to a constant, which reduces our unknowns by 1. Snack credits are pretty limited in value, and they're the one element all plans have in common, so it makes a good choice for turning into a "constant". Now we are left with 3 unknowns and 3 equations, which will give us meaningful results.
Solving the first and third equations, treating S as a constant, yields:
3D = 79 - 2S ==> D = (79 - 2S) / 3
2C = 35 - 2S ==> C = (35 - 2S) / 2
2C = 35 - 2S ==> C = (35 - 2S) / 2
Now that we know what C is, we can solve the second equation:
T = 46 - C - S ==> 46 - ( ( 35 - 2S ) / 2 ) - S = 28.50
Curiously, changing the value of S affects only C and D. The value of T is constant regardless of what you change S to. Now, all that's left is to plug in whatever value we choose for "S", and we can compute all three variables. Last year, I used $3 as a snack credit value; for 2011, that would yield:
C = $14.50, T = $28.50, D = $24.33
A CS credit value goes up by the exact amount the snack value drops, and vice-versa. A DxDP meal credit is affected similarly, but scaled by 2/3. So, using different snack credit values, we see:
S = $4.00 ==> C = $13.50, T = $28.50, D = $23.67
S = $3.00 ==> C = $14.50, T = $28.50, D = $24.33
S = $2.00 ==> C = $15.50, T = $28.50, D = $25.00
S = $1.00 ==> C = $16.50, T = $28.50, D = $25.67
S = $0.00 ==> C = $17.50, T = $28.50, D = $26.33
S = $3.00 ==> C = $14.50, T = $28.50, D = $24.33
S = $2.00 ==> C = $15.50, T = $28.50, D = $25.00
S = $1.00 ==> C = $16.50, T = $28.50, D = $25.67
S = $0.00 ==> C = $17.50, T = $28.50, D = $26.33
Similarly, we can solve for child credit values c (child's CS credit), d (child's DxDP meal credit), and t (child's TS credit):
Deluxe: 3d + 2S = 22
Basic: 1c + 1t + 1S = 12
QSDP: 2c + 2S = 12
Basic: 1c + 1t + 1S = 12
QSDP: 2c + 2S = 12
Solving for c and d:
3d = 22 - 2S ==> d = (22 - 2S) / 3
2c = 12 - 2S ==> c = (12 - 2S) / 2
2c = 12 - 2S ==> c = (12 - 2S) / 2
Solving for t, now that we know c:
t = 12 - c - S ==> 12 - ( ( 12 - 2S ) / 2 ) - S = 6
So, based on our choice of "S", we can determine the values of c and d (since t is a fixed $6.00 value):
S = $4.00 ==> c = $2.00, t = $6.00, d = $4.67
S = $3.00 ==> c = $3.00, t = $6.00, d = $5.33
S = $2.00 ==> c = $4.00, t = $6.00, d = $6.00
S = $1.00 ==> c = $5.00, t = $6.00, d = $6.67
S = $0.00 ==> c = $6.00, t = $6.00, d = $7.33
S = $3.00 ==> c = $3.00, t = $6.00, d = $5.33
S = $2.00 ==> c = $4.00, t = $6.00, d = $6.00
S = $1.00 ==> c = $5.00, t = $6.00, d = $6.67
S = $0.00 ==> c = $6.00, t = $6.00, d = $7.33
The proof is left for the reader to show that the "peak" season pricing increase for basic DDP (an extra $2/night for adults and $1/night for children) applies directly to the value of the DDP TS credit. (As a hint, note that if the CS credit cost changes, this affects the calculation of the QSDP costs, but those don't change!)
6. Revision history
2011-03-03 Converted my original postings to "guide" form

doesn't work, LOL! Thanks for breaking out the costs. Further confirms that we save $$ on the deluxe plan, since we use it for all TS. Point for DH, who wants to go deluxe so he doesn't have to think about it when the check comes (only I have to agonize for months over making the 25+ ADRs
) I'm still not convinced, so I guess I'll go post another "should I/shouldn't I go deluxe question. Ohhhh the horror
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