Q.1. Alice Kramer, head of the engineering department of the Automatic Switch Company, estimates the following production and marginal product functions for assembly of the K-2 switch: (15) Q= 30X+2XY-0.5X2-0.52 MPx= 30-2Y-X MPY= 2X-Y Where Q =total output of K-2 switches, X= worker hours and Y= machine tool hours. A. Assume a weekly rate of use where X= 70 worker hours and Y= 30 machine tool hours. What is total product per week? B. Calculate the marginal product for each input at this rate of usage. C. Calculate the marginal revenue product for each input at these usage levels, assuming K-2 switches are sold at a competitive market of 50 e each. D. Are these input usage levels optimal in light of wage costs of $25 per hour and machine tool costs of $40 per hour? If so Why? If not calculate optimal input levels and explain your