a) We have to calculate the total reimbursement.
We can list the types of lunches and reimbursements for each:
0. Free lunches: the school served 29,000 free lulnches and will receive $2.68 for each one.
,
1. Reduced-price lunches: the school served 19,000 reduced-price lunchs and will receiv $2.28 for each one.
,
2. Full price lunches: the school seved 51,000 regular-price lunches and will receive $0.25 for each one.
Then, we can calculate the total reimbursement as:
[tex]\begin{gathered} R=29000\cdot2.68+19000\cdot2.28+51000\cdot0.25 \\ R=77720+43320+12750 \\ R=133790 \end{gathered}[/tex]
The lunch reimbursement should be $133,790.
b) The milk reimbursement can be estimated as $0.035 per lunch, so it can be calculated as:
[tex]\begin{gathered} M=(29000+19000+51000)\cdot0.035 \\ M=99000\cdot0.035 \\ M=3465 \end{gathered}[/tex]
The milk reinbursement is $3,465.
c) We can calculate the total reinbursement as the sum of the lunch reinbursement and the milk reinbursement:
[tex]R+M=133790+3465=137255[/tex]
The total reinbursement is $137,255.
d) We can calculate the average reinbursement per lunch dividing the total reinbursement by the number of lunches:
[tex]\frac{T}{L}=\frac{137255}{99000}\approx1.39[/tex]
The average reinbursement is $1.39 per lunch.
