A. Formulate Problem 14 as a linear program. b. Solve the problem using a linear programming code. Round off the solution and determine the cost of the resultingplan. Reference: Problem 14A local semiconductor firm, Superchip, is planning its workforce and production levels over the next year. The firm makes avariety of microprocessors and uses sales dollars as its aggregate production measure. Based on orders received and salesforecasts provided by the marketing department, the estimate of dollar sales for the next year by month is as follows:Won W DemandwJanuary 22 340Febnaly 16 33)March 21 220April 19 11!)May 23 490June 20 625July 24 375August 12 310September 19 175October 22 145November 20 120December 16 165 Inventory holding costs are based on a 25 percent annual interest charge. It is anticipated that there will be 675 workers onthe payroll at the end of the current year and inventories will amount to $120,000. The firm would like to have at least$100,000 of inventory at the end of December next year. It is estimated that each worker accounts for an average of$60,000 of production per year (assume that one year consists of 250 working days). The cost of hiring a new worker is$200, and the cost of laying off a worker is 5400.a. Determine the minimum constant workforce that will meet the predicted demand for the coming year. b. Evaluate the cost of the plan determined in part (a).