1. The owner of a car wash is trying to decide on the number of people to employ based on the following short-run production function: Q =6L - 0.5L2 Where Q = Number of car washes per hour L = Number of workers a. Generate a schedule showing total product. average product. and marginal product. Plot this schedule on a graph. b. Suppose the price of a basic car wash [no undercoating, no wax treatment, etc) in his area of business is $5. How many people should he hire if he pays each worker $6 / hour? c. Suppose he considers hiring students on a part-time basis for $4fhour. Do you think he should hire more workers at this lower rate? Explain. 2.The Noble Widget Corporation produces just one product, widgets. The company's new economist has calculated a short-run production function as follows: Q= 7V +0.6V2 - 0.1V3 Where Q is the number of widgets produced per day and V is the number of production workers working an 3-hour day. a. Develop a production schedule with V equaling 1 to 10. b. Calculate average and marginal products