Let's analyze the questions step by step: ### **Given:** - **Nominal fee paid by student:** $1 per day - **Government reimburses Hardyke for "cost" per day:** (This could mean either the regular price, the full cost, or something else; see below) - **Regular price (market rate):** $5.60 per day - **Full cost per student per day (including operating deficit):** $8.10 - **All programs are unaffected by the number of students paying the nominal fee.** - **Number of student-days (in-need children) per month:** 3,600 --- ### **b. Which price would Hardyke Group prefer?** **Hardyke's preference:** Hardyke would prefer the **highest possible reimbursement**, i.e., **$8.10** per student per day (the full cost). **Reason:** - The higher the reimbursement, the more of their costs and deficits are covered. **Answer:** **$8.10** --- ### **c. Which price would the Education Department prefer?** **Education Department's preference:** The Education Department would prefer to reimburse the **lowest possible price**, i.e., the **$5.60** regular price per student per day (assuming they don't want to subsidize the operating deficit, which is not typically their responsibility unless specified). **Reason:** - The Department wants to minimize its spending. The nominal fee is $1, but that's paid by the student, not the Department. - If the Department can justify that the "cost" is the regular program price ($5.60), it would prefer that over the full cost ($8.10). **Answer:** **$5.60** --- ### **d. If Hardyke provides an average of 3,600 student-days for in-need children in a given month, what is the monthly value of the difference between the prices in full capacity?** **Difference per day per student:** $8.10 (full cost) - $5.60 (regular price) = **$2.50** **Total for the month:** $2.50 × 3,600 = **$9,000** **Answer:** **$9,000** --- ## **Summary Table** | Question | Answer | |----------|----------| | b | $8.10 | | c | $5.60 | | d | $9,000 | --- #### **To input:** - b. **8.10** - c. **5.60** - d. **9,000** **Let me know if you need an explanation or calculation details for each!**