> Question 6 1.25 pts Formulate but do not solve this exercise as a linear programming problem. A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $5 on each unit of product A and a profit of $8 on each unit of product B. To manufacture a unit of product A requires 4 min on machine | and 8 min on machine II. To manufacture a unit of product B requires 3 min on machine I and 4 min on machine II. There are 2 hr of machine time available on machine I and 9 hrs of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? Write the objective function, P(x,y). Write the system of inequalities to which the objective function is subjected. P(xy)=8x+5y, 4x+3y$120, 8x+3y S540, x20, 720 OP(xy)=5x+8y, 4x+4ys120, 8x+ 3y 3540, X20, 720 OP(xy)=8x+5y, 4x+3y$ 120, 8x+4y540, x20, y20 OP(xy)=8x+5y, 4x+3y3, 8x+ 540y5120, x20,20 OP(xy)=5x+8y, 4x+3y S120, 8x+4y S540, x20, 720