11) A swimming pool company has 100,000 labor hours available per summer and with a labor productivity of 5 pools per 6,000 hours. a.How many pools can the company install this summer? b.Suppose the multifactor productivity was one pool per $25,000. How much should the company expect to spend this summer constructing the pools? 12) An industrial plant needs to make 100,000 parts per month to meet demand. Each month contains 20 working days, each of which allows for 3 separate 8 hour shifts. a.If a worker can produce 10 parts/hour, how many workers are needed on each shift? b.If each shift has 100 workers, what is the productivity of an individual worker? c.If material costs are $10/part, capital costs are $100,000 and labor costs are $10/hour, what is the multifactor productivity of the plant from part A? 13) The local fast food store experienced the following number of customers on the night shift Hour—————-Customers 12 AM23 1 AM20 2 AM15 3 AM5 4 AM2 5 AM1 If the store was staffed by two workers, what was the average productivity per worker, in customers/hour? 14) Brandon Production is a small firm focused on the assembly and sale of custom computers. The firm is facing stiff competition from low-priced alternatives, and is looking at various solutions to remain competitive and profitable. Current financials for the firm are shown in the table below. In the first option, marketing will increase sales by 50%. The next option is Vendor (Supplier) changes, which would result in a decrease of 10% in the cost of inputs. Finally there is an OM option, which would reduce production costs 25%. Which of the options would you recommend to the firm if it can only pursue one option? In addition, comment on the feasibility of each option. Business FunctionCurrent Value Cost of Inputs$50,000 Production Costs$25,000