The ACE Manufacturing Company has orders for two similar products:

Product Orders

A $1500$

B $1000$

Two machines are available for the manufacturing operations. The machines can produce all the

products at the same production rate. However, due to varying defect percentages of each

product on each machine, the unit costs of the products vary depending on the machine used.

Machine capacities for the next week, and the unit costs, are as follows:

Product

Machine Capacity Machine A B

$15001$ $$1\mathrm{.}50$ $$1\mathrm{.}30$

$220002$ $$1\mathrm{.}25$ $$1\mathrm{.}75$

a$)$ Formulate an LP to minimize costs