Use the Graphical Method to solve the following linear programming problems. 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. He has $45,000 to purchase new boats (canoes & kayaks). He can buy canoes for $600 each & kayaks for $750 each. His facility can hold up to 65 boats. The canoes will rent for $25 per day & the kayaks will rent for $30 per day. How many canoes & how many kayaks should he buy to earn the most revenue (rental income)?

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.

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3