(Appendix) 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.
|
Chairs |
Tables |
Umbrellas |
|
|
Sales price |
$25 |
$90 |
$75 |
|
Variable production cost |
15 |
50 |
40 |
|
Variable selling cost |
5 |
20 |
20 |
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.
|
Chairs |
Tables |
Umbrellas |
|
|
Machine hours |
1.5 |
2.5 |
1 |
|
Labor hours |
1.0 |
1.5 |
1.5 |
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 Upstate Leisure?