Solve the following problem by performing each of the following steps: the statement of the problem, the development of the operations, verification, the interpretation and conclusion of the results. Automobile production. An automobile firm has two manufacturing plants, one in Spain and the other in England, in which it produces two car models; model 1, M1, and model 2, M2, each model is manufactured in three colors A, B and C. Its daily production capacity in each plant is as follows: The plant in Spain produces model 1: 300 in color A, 250 in color B and 200 in color C. From model 2: 95 in color A and 100 in color B as 100 in color C. The plant in England produces model 1: 190 in color A, 200 in color B and 150 in color C. While model 2: 90 in color A, 100 in color B and 80 in color C. a) What is the matrix representation of each of the plants? b) What is the firm's total production, expressed in matrix form? c) If the production in Spain rises by 20% and it decreases in England by 10%, what matrix represents the new total production?
Solve the following problem by performing each of the following steps: the statement of the problem, the development of the operations, verification, the interpretation and conclusion of the results.
Automobile production. An automobile firm has two manufacturing plants, one in Spain and the other in England, in which it produces two car models; model 1, M1, and model 2, M2, each model is manufactured in three colors A, B and C. Its daily production capacity in each plant is as follows:
The plant in Spain produces model 1: 300 in color A, 250 in color B and 200 in color C. From model 2: 95 in color A and 100 in color B as 100 in color C.
The plant in England produces model 1: 190 in color A, 200 in color B and 150 in color C. While model 2: 90 in color A, 100 in color B and 80 in color C.
a) What is the matrix representation of each of the plants?
b) What is the firm's total production, expressed in matrix form?
c) If the production in Spain rises by 20% and it decreases in England by 10%, what matrix represents the new total production?
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