A company produces two types of computers; desktops and laptops. They will make a profit of $202 on each desktop and $297 on each laptop. Each desktop computer takes 10 hours of assembly time and 6 hours of quality control time. Each laptop computer takes 8 hours of assembly time and 2 hours of quality control time. The company has a maximum of 5,100 assembly hours and 1,200 quality control hours per week. In your answer, let x be the number of desktops to produce, and let y be the number of laptops to produce. Write the linear programming problem which must be solved to determine how many of each kind of computer should be made in order to maximize profit.