Part 6. A small company manufactures three sizes of their picture frames that require the processes of carpentry, finishing, assembly, and packaging. Each process resides in a department that works on 8 hour shifts. The production standard in each department is reported to be the number of products produced during a fixed production time. The production standard in the carpentry department is reported to complete 20 small frames in 2 hours, 32 medium frames in 4 hours, and 12 large frames in 2 hours. The production standard in the finishing department is reported to complete 24 small frames in 3 hours, 15 medium frames in 3 hours, and 20 large frames in 4 hours. The production standard in the assembly department is reported to complete 24 small frames in 3 hours, 32 medium frames in 4 hours, and 10 large frames in 2 hours. The production standard in the packaging department is reported to complete 8 small frames in 1 hour, 16 medium frames in 2 hours, and 12 large frames in 3 hours. The profits are $9.00 for each small frame, $11.00 for each medium frame, and $15.00 for each large frame. Assume all frames that are produced will be sold. Each frame has a minimum production requirement of 6.

Question 1a. What is the maximum profit for one shift?

A. $420 B. $561 C. $576 D. $546 E. None of the above

Question 1b. What would the profit from producing one dozen of each product for one shift?

A. $420 B. $561 C. $576 D. $546 E. None of the above