Upstate Leisure makes three outdoor leisure products: chairs, tables, and umbrellas. The company has significant demand for all three products but must manage certain constraints in its operations. Following are sales price and cost information for each product.

The company faces machine time and labor time constraints in producing the three products. In total, the company has 15,000 machine hours and 30,000 labor hours available for production in the coming year. Following are the per-unit production requirements for the three products.

a. In managing its constrained resources, what is the objective function of Upstate Leisure?
b. What are the production constraint equations for Upstate Leisure?
c. What are non-negativity constraint equations for UpstateLeisure?

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Sales price Variable production cost Variable selling cost Chairs $25 15 Tables $90 50 20 Umbrellas S75 40 20 Tables 2.5 1.5 Umbrellas Chairs 1.5 1.0 Machine hours Labor hours 1.5