MATH 1110 Midterm: MTH 1101 Midterm 1

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Instructions: put your name in the blanks above. Put your nal answers to each question in the designated spaces on these pages. Show your work if there is not enough room, use another sheet. (1) set up a linear program to solve the following problem. Be sure to identify the action variables, all the constraints, and the objective function. A health food store is making a tasty blend of carrots and avocados for a special diet. Carrots contain 100 units of vitamin a and 25 units of vitamin b per pound. Avocados contain 30 units of vitamin a and 80 units of vitamin b per pound. The mixture is to have at least 1,000 units, but no more than 3,000 units of vitamin a; and at least 1,200 units, but no more than 2,400 units of vitamin b. Carrots cost 60 cents per pound, and avocados cost . 10 per pound.