Problems

Q$.7-14$ The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes $3$ hours of wiring and $2$ hours of drilling. Each fan must go through $2$ hours of wiring and $1$ hour of drilling. During the next production period, $240$ hours of wiring time are available, and up to $140$ hours of drilling time may be used. Each air conditioner sold yields a profit of $$25.$ Each fan assembled may be sold for a $$15$ profit. Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit. Use the corner point graphical approach.

Q$\mathrm{.}7-17$ The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use in yards and parks. The firm has two main resources: its carpenters $($labor force$)$ and a supply of redwood for use in the furniture. During the next production cycle, $1,200$ hours of labor are available under a union agreement. The firm also has a stock of $3,500$ board feet of good$-$quality redwood. Each bench that Outdoor Furniture produces requires $4$ labor hours and $10$ board feet of redwood; each picnic table takes $6$ labor hours and $35$ board feet of redwood. Completed benches will yield a profit of $$9$ each, and tables will result in a profit of $$20$ each. How many benches and tables should Outdoor Furniture produce to obtain the largest possible profit? Use the graphical LP approach.