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A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. R(x,y) = 120x + 180y + 0.08xy – 0.08x² – 0.08y² C(x,y) = 6x + 8y + 20,000 Find Px(1200,1800) and Py(1200,1800), and interpret the results. Px(1200,1800) = %3D Choose the correct interpretation of Px(1200,1800). A. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $66 per unit increase in production of type A. B. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $18 per unit increase in production of type A. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $18. O D. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $66. Py(1200,1800) = Choose the correct interpretation of Py(1200,1800). A. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $28 per unit increase in production of type B. B. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $20. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $28. D. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $20 per unit increase in production of type B.

A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. R(x,y) = 120x + 180y + 0.08xy – 0.08x² – 0.08y² C(x,y) = 6x + 8y + 20,000 Find Px(1200,1800) and Py(1200,1800), and interpret the results. Px(1200,1800) = %3D Choose the correct interpretation of Px(1200,1800). A. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $66 per unit increase in production of type A. B. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $18 per unit increase in production of type A. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $18. O D. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $66. Py(1200,1800) = Choose the correct interpretation of Py(1200,1800). A. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $28 per unit increase in production of type B. B. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $20. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $28. D. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $20 per unit increase in production of type B.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 65EQ
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A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. R(x,y) = 120x + 180y + 0.08xy – 0.08x² – 0.08y? C(x,y) = 6x + 8y + 20,000 %3D Find Px(1200,1800) and Py(1200,1800), and interpret the results. Px(1200,1800) = Choose the correct interpretation of Px(1200,1800). O A. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $66 per unit increase in production of type A. B. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $18 per unit increase in production of type A. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $18. D. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $66. Py(1200,1800) =| Choose the correct interpretation of Py(1200,1800). O A. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $28 per unit increase in production of type B. B. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $20. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $28. D. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $20 per unit increase in production of type B.
Transcribed Image Text:A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. R(x,y) = 120x + 180y + 0.08xy – 0.08x² – 0.08y? C(x,y) = 6x + 8y + 20,000 %3D Find Px(1200,1800) and Py(1200,1800), and interpret the results. Px(1200,1800) = Choose the correct interpretation of Px(1200,1800). O A. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $66 per unit increase in production of type A. B. When selling 1,200 units of type A and 1,800 units of type B, the profit will increase approximately $18 per unit increase in production of type A. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $18. D. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $66. Py(1200,1800) =| Choose the correct interpretation of Py(1200,1800). O A. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $28 per unit increase in production of type B. B. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $20. C. Selling 1,200 units of type A and 1,800 units of type B will yield a profit of approximately $28. D. When selling 1,200 units of type A and 1,800 units of type B, the profit will decrease approximately $20 per unit increase in production of type B.
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