Lesson 3.4 Quiz

# Lesson 3.4 Quiz - to clean and package the fish The graph...

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Lesson 4 Quiz Linear Systems Results of the quiz. 1. A factory can produce two products, x and y , with a profit P approximated by P = 12 x + 15 y . The production of y can exceed x by no more than 200 units. Moreover, production levels are limited by the formula x + 2 y 1000. What production levels yield maximum profit? CORRECT: x = 1000; y = 0 2. Find the values of x and y that maximize the objective function for this graph. Maximum for P = 3 x + 2 y CORRECT: (1, 8) 3. A small fish market sells only tuna and salmon. A tuna costs the fish market \$0.75 per pound to buy and \$2.53 per pound to clean and package. A salmon costs the fish market \$3.00 per pound to buy and \$2.75 per pound to clean and package. The fish market makes \$2.50 per pound profit for each tuna it sells and \$2.80 per pound profit for each salmon it sells. The fish market owner can spend only \$159.00 per day to buy fish and \$197.34 per day

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Unformatted text preview: to clean and package the fish. The graph below represents the feasible region for this linear programming model. What are the coordinates of the vertices of the feasible region, and what are the vales of t and s that maximize the objective function? ; P = 2.50 t + 2.80 s • CORRECT: (0, 0), (0, 53), (71.76, 0), (28, 46); t = 28 and s = 46. 4. Which of the following are the values of x and y that minimize the objective function for this system of constraints? ; P = x + 2 y • CORRECT: ( , 2) 5. Identify the graph of the system of constraints. Then find the values of x and y that mazimize the objective function. Maximum for C = 30 x + 50 y • INCORRECT: Maximum at (0, 7); 350 • CORRECT: Maximum at (0, 4); 200 You got 4 out of 5 correct....
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Lesson 3.4 Quiz - to clean and package the fish The graph...

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