1. An accounting firm has 780 hours of staff time and 256 hours of reviewing time available each week. The firm charges 1300 dollars for
1. An accounting firm has 780 hours of staff time and 256 hours of reviewing time available each week. The firm charges 1300 dollars for an audit and 150 dollars for a tax return. Each audit requires 60 hours of staff time and 16 hours of review time. Each tax return requires 10 hours of staff time and 4 hours of review time. what numbers of audits and tax returns will yield an optimal revenue?
a. Audits= ?
b. Tax returns= ?
c. What is the optimal revenue?
2. A fruit grower raises crops A and B. The yield is 500 bushels per acre for crop A and 800 bushels per acre for crop B. Research and available resources indicate the following constraints.
- The fruit grower has 130 acres of land available.
- It takes 1 day to trim the trees on an acre of crop A and 2 days to trim an acre of crop B, and there are 190 days per year available for trimming.
-It takes 0.3 day to pick an acre of crop A and 0.1 day to pick an acre of crop B, and there are 33 days per year available for picking.
What is the optimal acreage for each fruit when optimizing the yield?
- Crop A = _____ acres
- Crop B= _____ acres
- What is the optimal yield?
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