Dale has 20 days to complete production of an order for an important customer. The customer wants 96 units of product that may be painted either red or white. The red units can be produced at a rate of 4 per day. The white units, because of a different quality of paint, can be produced at a rate of 7 per day. The materials for the red units cost US $80 each, while the white units cost US $120 each. Dale wants to keep costs at a minimum.
What is the constraint that expresses the number of units to be produced?
- 4R + 7W = 20
- R 4) + W = 7) <20
- R + W = 20
- 4R + 7W = 96
Answer(s): B
Explanation:
The constraint function that expresses the number of units to be produced is R + W = --I 96, but that is not one of the answer choices. Another constraint is that the total quantities of red R) and white W) units must be produced in 20 or fewer days at a rate of 4 red units per day and 7 white units per day. Thus, the time constraint is R - 4) + W - 7) 20.
Show Answer Next Question