AGRICULTURE
Response to the following problem:
Gilroy Farms of California owns 200 acres of land on which it plants garlic (for which the region is famous) and onions. It estimates that it makes ' $550 per acre of garlic and $400 per acre of onions planted. During the growing season each acre of garlic requires the use of 4 tons of fertilizer and 2 acre feet of water, whereas each acre of onions requires 3 tons of fertilizer and 1.5 acre-feet of water. Gilroy has contracted for at most 750 tons of fertilizer and 400 acre-feet of water.
a. Flow many acres of land should be devoted to each crop to maximize its profit for the season? Is there any land left unfarmed?
b. What is the minimum profit per acre for onions that would make it economically feasible for Gilroy Farms to grow onions.
c. If the profit per acre of onion were $450, how many acres of land should Gilroy plant of each crop to maximize its profit for the season?
d. Gilroy Farms is considering leasing another 200-acre parcel adjoining its current property on which it would expand its planting of garlic and onions. If Gilroy can lease this site for $1000, how much additional profit would it make during the growing season if it could not increase its fertilizer and water allocation?