Chapter 9.4, Problem 16E

Exercises 15 and 16 refer to Exercise 15 in Section 9.2. This exercise was solved using the simplex method in Exercise 17 of Section 9.3. Use the final simplex tableau for that exercise to answer the following questions.

16. If an extra hour of labor were available, to which department should it be allocated? Why?

15. The Benri Company manufactures two kinds of kitchen gadgets: invertible widgets and collapsible whammies. The production process is divided into three departments: fabricating, packing, and shipping. The hours of labor required for each operation and the hours available in each department each day are shown below.

	Widgets	Whammies	Time available
Fabricating	5.0	2.0	200
Packing	0.2	0.4	16
Shipping	0.2	0.2	10

Suppose that the profit 011 each widget is $20 and the profit on each whammy is $26. How many widgets and how many whammies should be made each day to maximize the company’s profit?