Acompany produces two types of solar panels per year: x thousand of type a and y thousand of type b. the revenue and cost equations, in millions of dollars, for the year are given as follows. r(x, y)-5x + 7y c(x, y) x2-2xy+9y+3x -87y-6 determine how many of each type of solar panel should be produced per year to maximize proft. the company will achieve a maximum profit by selling solar panels of type a and sellingsolar panels of type b

Step-by-step explanation:

We assume your equations are intended to be ...

Then the profit equation is ...

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°