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Q2/ A petroleum company produce two products (high-grade gasoline) and (low-grade gasoline) and the profit per ton solid is (120) $ and (80) $ respectively. Each ton of first product needs (twelve minutes) of processing in a particular refinery and each ton of second product needs (twenty five minutes) of processing. Because of maintenance, the company concluded that the refinery has only (thirty) effective hours per week. Technical constraints mean that for every (5) tons of first product produced at least (2) tons of second product must be produced. How many tons of both products will be produced to maximize profit. Solve this problem graphically.

Q2/ A petroleum company produce two products (high-grade gasoline) and (low-grade gasoline) and the profit per ton solid is (120) $ and (80) $ respectively. Each ton of first product needs (twelve minutes) of processing in a particular refinery and each ton of second product needs (twenty five minutes) of processing. Because of maintenance, the company concluded that the refinery has only (thirty) effective hours per week. Technical constraints mean that for every (5) tons of first product produced at least (2) tons of second product must be produced. How many tons of both products will be produced to maximize profit. Solve this problem graphically.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Q2/ A petroleum company produce two products (high-grade gasoline) and (low-grade gasoline) and the profit per ton solid is (120) $ and (80) $ respectively. Each ton of first product needs (twelve minutes) of processing in a particular refinery and each ton of second product needs (twenty five minutes) of processing. Because of maintenance, the company concluded that the refinery has only (thirty) effective hours per week. Technical constraints mean that for every (5) tons of first product produced at least (2) tons of second product must be produced. How many tons of both products will be produced to maximize profit. Solve this problem graphically.
Transcribed Image Text:Q2/ A petroleum company produce two products (high-grade gasoline) and (low-grade gasoline) and the profit per ton solid is (120) $ and (80) $ respectively. Each ton of first product needs (twelve minutes) of processing in a particular refinery and each ton of second product needs (twenty five minutes) of processing. Because of maintenance, the company concluded that the refinery has only (thirty) effective hours per week. Technical constraints mean that for every (5) tons of first product produced at least (2) tons of second product must be produced. How many tons of both products will be produced to maximize profit. Solve this problem graphically.
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