In order to fertilize his vegetable farm,John,a farmer,needs to choose from two fertilizers: Nitro Plus and Phosphate Max.Each bag of Nitro Plus costs $7 and contains 8 pounds of nitrogen and 6 pounds of phosphate.Each bag of Phosphate Max costs $9 and contains 4 pounds of nitrogen and 8 pounds of phosphate.John's vegetable farm requires at least 32 pounds of nitrogen and 48 pounds of phosphate.(Assume fractions of a bag are allowed).At the optimal solution,what is the cost of Nitro Plus used by John?
A)$12.85
B)$11.20
C)$7.65
D)$16.45

Question

Quizplus · Accepted Answer

To minimize cost, John should use 4 bags of Nitro Plus and 3 bags of Phosphate Max. This provides exactly 32 pounds of nitrogen and 48 pounds of phosphate. The cost of Nitro Plus is 4 bags * $7 = $28. The total cost is $28 + (3 bags * $9) = $55. The cost of Nitro Plus used is $28, which is not directly listed, but the question asks for the cost of Nitro Plus used, which is $28. However, the question seems to have a mismatch with the options provided, as none directly match $28.

In Order to Fertilize His Vegetable Farm,John,a Farmer,needs to Choose