Alinear programming computer page is needed The Silver Star Bicycle Company be manufacturing both men's and women's models for its Easy-Pedal 10-speed beydes during the new months. Management wants to develop a production schedule indicating how many cycles of each model should be produced in each month. Current demand forecasts call for 150 mo's and 125 women's models to be shipped during the first month and 200 man's and 150 women's models to be shipped during the second month. Additional data are shown. Model Production costs Current Inventory Labor Requirements (hours) Manufacturing Assembly 2.0 15 Men's 5120 20 Women's 590 1.6 10 30 Last month the company used a total of 1,000 hours of labor. The company's labor relations policy will not allow the combined total hour of labor manufacturing plus embly to increase or decrease by more than 100 hours from month to month. In addition, the company charges monthly inventory at the rate of 2% of the protection Cosed on the inventory levels at the end of the month. The company would like to have at least 25 units of each model in inventory at the end of the two months Only integer amounts of bicycles can be produced (a) Establish a production schedule that minices production and inventory costs and satisfies the Inbor-smoothing, demand, and inventory requirements men's model in month 1 bicycles women's model in month bicycles men's model in monta 2 bicycles women's model in month 2 bicydes Total Cost What inventories will be maintained? Inventory Schedule men's model in month 1 bicycles women's model in month 1 bicycles men's model in month 2 bicycles women's model in month 2 bicycles What are the monthly labor requirements? previous month hrs month 1 hes month 2 his (b) If the company changed the constraints so that monthly labor increases and decreases could not exceed 50 hours, what would happen to the production schedule? men's model in month 1 bicydes bicydes women's model in month 1 men's model in month 2 bicycles women's model in month 2 bicycles Total Cost How much will the cost increase