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Sagot :
Using Cramer's rule, the firm's profit is $79,000.
What is Cramer's Rule?
Cramer’s Rule as a method of systems of equations uses determinants with the same number of equations as variables. Determinants are the quantities that we obtain when we mathematically manipulate the elements of a square matrix.
Data and Calculations:
Matrix A:
A B C
Output units 15,000 27,000 13,000
Price of output 10 12 5
Sales revenue 150,000 324,000 65,000 (13,000 x 5)
Total Sales Revenue = 539,000 (150,000 + 324,000 + 65,000)
Matrix B:
A B
Input units 11,000 30,000
Cost per unit 20 8
Total cost 220,000 240,000 (30,000 x 8)
The Total Production Costs = 460,000 (220,000 + 240,000)
The profit can be calculated as the difference between the revenue and cost determinants to be equal to 79,000 (539,000 - 460,000).
Thus, using Cramer's Rule, the firm's profit is $79,000.
Learn more about Cramer's Rule here: https://brainly.com/question/15327191
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