Triumph Trumpet Company makes two styles each of both trumpets and comets deluxe and professional models. Its unit profit on deluxe trumpets is $80 and on deluxe comets is $60. The professional models realize twice the profit of the deluxe models.
Trumpets and comets are made basically from two mixtures of two different brass alloys. The amount of each alloy (in pounds) required to produce each type of horn is summarized in the following table along with the monthly availability to Triumph of the alloys.
Trumpets Comets Monthly Availability
Deluxe Pro Deluxe Pro
Alloy 1 2 1.5 1.5 1 2000
Alloy 2 1 1.5 1 1.5 1800
Triumph must fulfill contracts calling for at least 500 deluxe trumpets and 300 deluxe comets monthly. Monthly demand for professional trumpets is not expected to exceed 150 and for professional comets is not expected to exceed 100. Production set-ups are such that the company will produce exactly twice as many trumpets as comets.
Formulate this problem as a linear program.
Just formuate this problem and explain
Linear Program Formulated.