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aryal191
24.05.2020 •
Mathematics
Sporting Equipment, Inc. makes two types of balls: Soccer balls and Cork balls. The making of each soccer ball and cork ball requires 3 hours and 4 hours of production time, respectively. A total of 500 production hours are available during the next month At least 150 balls, combined, must be produced. The production cost for each Soccer ball is $9 and each Cork ball is $7.Formulate and solve a linear programming model minimizing production costs.
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Ответ:
100 soccer balls and 50 cork balls must be produced
Step-by-step explanation:
Let the number of soccer ball = p and number of cork ball = q
Production hours of p = 3 hours
Production hours of q = 4 hours
Then the production time equation would be:
3p + 4q ≤500
The number of the balls must be at least 150
p + q ≥150
x ≥ 0 y ≥ 0
Minimum production r = 9p + 7q
Therefore 100 soccer balls and 50 cork balls must be produced
Ответ: