Problem
A firm uses three inputs X, Y and Z to manufacture two goods A and B. The requirements per tonne are as follows.
A: 5 loads of X, 4 containers of Y and 6 hours of Z
B: 5 loads of X, 6 containers of Y and 2 hours of Z
Each tonne of A brings in £400 profit and each tonne of B brings in £300. What combination of A and B should the firm produce to maximize profit if it has at its disposal 150 loads of X, 240 containers of Y and 150 hours of Z?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.