25. The cost c (in €) for the production of two goods as a function of the produced quantity q₁ of good 1 and 92 of good 2 is a linear function of the variables q₁ and 92. The cost of producing 30 units of good 1 and 40 units of good 2 is €9938. If the production of good 1 is increased by 8 units and at the same time the production of good 2 is decreased by 6 units, then the cost increases by €38. If the production of good 1 is increased by 1 unit while the production of good 2 is kept unchanged, the cost increases by €7. Find the equation of the cost function c (91, 92).
25. The cost c (in €) for the production of two goods as a function of the produced quantity q₁ of good 1 and 92 of good 2 is a linear function of the variables q₁ and 92. The cost of producing 30 units of good 1 and 40 units of good 2 is €9938. If the production of good 1 is increased by 8 units and at the same time the production of good 2 is decreased by 6 units, then the cost increases by €38. If the production of good 1 is increased by 1 unit while the production of good 2 is kept unchanged, the cost increases by €7. Find the equation of the cost function c (91, 92).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ:
23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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