Answer:
To maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.
Step-by-step explanation:
Since Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park, and he has $ 45,000 to purchase new boats (canoes & kayaks) , and he can buy canoes for $ 600 each & kayaks for $ 750 each, and his facility can hold up to 65 boats, if the canoes will rent for $ 25 per day & the kayaks will rent for $ 30 per day, to determine how many canoes & how many kayaks should he buy to earn the most revenue, the following calculation should be performed:
65 x 750 = 48,750
48,750 - 45,000 = 3,750
750 - 600 = 150
3,750 / 150 = 25
25 x 600 + 40 x 750 = 45,000
25 x 25 + 30 x 40 = 1,825
600 x 5 = 3,000
750 x 4 = 3,000
40 x 30 + 25 x 25 = 1,825
60 x 30 + 0 x 25 = 1,800
56 x 30 + 5 x 25 = 1,805
52 x 30 + 10 x 25 = 1,810
48 x 30 + 15 x 25 = 1,815
44 x 30 + 20 x 25 = 1,820
Thus, to maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.
