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An electronics company is engaged in the production of two components C, and C2, used in radio sets. Each unit of C1 costs the company 5 in wages and 5 in materials, while each unit of C2 costs the company 7 25 in wages and 15 in materials. The company sells both products on one-period credit terms, but the company's labour and material expenses must be paid in cash. The selling price of C, is 30 per unit and of C, it is 70. Because of the strong monopoly of the company for these components, it is assumed that the company can sell at the prevailing prices as many units as it produces. The company's production capacity is, however, limited by two considerations. First, at the beginning of period 1, the company has initial balance of 4,000 (cash plus bank credit plus collections from past credit sales). Secondly, the company has available, in each period, 2,000 hours of machine time and 1,400 hours of assembly time. The production of each C requires three hours of machine time and two hours of assembly time, whereas the production of each C2 requires two hours of machine time and three hours of assembly time. Formulate the above problem as a linear programming problem.

An electronics company is engaged in the production of two components C, and C2, used in radio sets. Each unit of C1 costs the company 5 in wages and 5 in materials, while each unit of C2 costs the company 7 25 in wages and 15 in materials. The company sells both products on one-period credit terms, but the company's labour and material expenses must be paid in cash. The selling price of C, is 30 per unit and of C, it is 70. Because of the strong monopoly of the company for these components, it is assumed that the company can sell at the prevailing prices as many units as it produces. The company's production capacity is, however, limited by two considerations. First, at the beginning of period 1, the company has initial balance of 4,000 (cash plus bank credit plus collections from past credit sales). Secondly, the company has available, in each period, 2,000 hours of machine time and 1,400 hours of assembly time. The production of each C requires three hours of machine time and two hours of assembly time, whereas the production of each C2 requires two hours of machine time and three hours of assembly time. Formulate the above problem as a linear programming problem.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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An electronics company is engaged in the production of two components C, and C2, used in radio sets. Each unit of C, costs the company 7 5 in wages and ? 5 in materials, while each unit of C2 costs the company 25 in wages and 15 in materials. The company sells both products on one-period credit terms, but the company's labour and material expenses must be paid in cash. The selling price of C, is * 30 per unit and of C, it is ? 70. Because of the strong monopoly of the company for these components, it is assumed that the company can sell at the prevailing prices as many units as it produces. The company's production capacity is, however, limited by two considerations. First, at the beginning of period 1, the company has initial balance of 4,000 (cash plus bank credit plus collections from past credit sales). Secondly, the company has available, in each period, 2,000 hours of machine time and 1,400 hours of assembly time. The production of each C requires three hours of machine time and two hours of assembly time, whereas the production of each C, requires two hours of machine time and three hours of assembly time. Formulate the above problem as a linear programming problem.
Transcribed Image Text:An electronics company is engaged in the production of two components C, and C2, used in radio sets. Each unit of C, costs the company 7 5 in wages and ? 5 in materials, while each unit of C2 costs the company 25 in wages and 15 in materials. The company sells both products on one-period credit terms, but the company's labour and material expenses must be paid in cash. The selling price of C, is * 30 per unit and of C, it is ? 70. Because of the strong monopoly of the company for these components, it is assumed that the company can sell at the prevailing prices as many units as it produces. The company's production capacity is, however, limited by two considerations. First, at the beginning of period 1, the company has initial balance of 4,000 (cash plus bank credit plus collections from past credit sales). Secondly, the company has available, in each period, 2,000 hours of machine time and 1,400 hours of assembly time. The production of each C requires three hours of machine time and two hours of assembly time, whereas the production of each C, requires two hours of machine time and three hours of assembly time. Formulate the above problem as a linear programming problem.
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