Problem $2$

A fast$-$food restaurant sells quarter$-$pounders and cheeseburgers. A quarterpounder uses a quarter

of a pound of meat, and a cheeseburger uses only $\mathrm{.}2$ lb $.$ The restaurant starts the day with $250$ lb

of meat but may order more at an additional cost of $28$ cents per pound to$.($Any surplus meat at

the end of the day is donated to charity$).$ Profits are $22$ cents for a quarter$-$pounder and $18$ cents

for a cheeseburger. The restaurant does not expect to sell more than $950$ sandwiches per day.

Setup an LP problem to determine the optimal production strategy.