1. Silver Star Bicycle Company will be manufacturing both men's and women's models of its Easy-Pedal bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men's and 125 women's models to be shipped during the rst month and 200 men's and 150 women's models to be shipped during the second month. Additional data are shown: Model Production Labor Requirements (hours) Current Costs Assembly Inventory 2 .0 l .5 Men's $120 20 Women's 90 1.6 t 1.0 30 Last month the company used a total of 1000 hours of labor. The company's labor relations policy will not allow the combined total hours of labor (manufacturing plus assembly) 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 production cost based 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. Formulate this problem as a linear programming model so that a production schedule can be established in order to minimizes production and inventory costs and satises the labor-smoothing, demand, and inventory requirements