A local firm manufactures childrens toys. The projected demand over the next four months for one particular model of toy robot is Assume that a normal workday is eight hours. Hiring costs are $400 per worker and firing costs (including severance pay) are $900 per worker. Holding costs are $4.50 per aggregate unit held per month. Assume that it requires an average of 1 hour and 45 minutes for one worker to assemble one toy. Shortages are not permitted. Assume that the ending inventory for June was 650 of these toys and the manager wishes to have at least 700 units on hand at the end of October. Assume that the current workforce level is 30 workers. Find the optimal plan by formulating as a linear program. Forecasted Demand(in Month Workdays aggregate units) July 24 3625 August 18 7145 September 20 2790 October 22 4540.