Anursery sells mulch by the truckload. bark mulch sells for existb per load, and pine straw sells for existp per load.
the nursery's average weekly profit from the sale of these two types of mulch can be modeled as p(p, b) = 132p - 3p^2 - pb- 2b^2 + 130b + 45 dollars.

(a) how much should the nursery charge for each type of mulch to maximize the weekly profit from the sale of mulch? (round your answers to the nearest cent.) pine straw exist bark mulch exist

(b) explain how the determinant test verifies that the result in part (a) gives the maximum profit. since the determinant of the matrix is 0 and the second partial p_pp is 0, the prices result in a maximum profit.

(c) what is the maximum weekly profit from the sales of these two types of mulch? (round your answer to the nearest dollar.)