Suppose you are the owner of a dairy company that produces milk powder. There is a fixed cost 6.4 thousand dollars every month and variable cost 9.41 thousand dollars per ton of milk powder. Write down the monthly total cost function (dollars in thousands) in the quantity of production Q (in tonnes). What is the slope of this linear function? Question 2 Answer a. none of the others b. -0.68 c. 6.4 d. 8.10 e. 9.41
Question
Suppose you are the owner of a dairy company that produces milk powder. There is a fixed cost 6.4 thousand dollars every month and variable cost 9.41 thousand dollars per ton of milk powder.
Write down the monthly total cost function (dollars in thousands) in the quantity of production Q (in tonnes).
What is the slope of this linear function?
Question 2 Answer
a. none of the others
b. -0.68
c. 6.4
d. 8.10
e. 9.41
Solution
The total cost function for the dairy company can be written as follows:
Total Cost = Fixed Cost + Variable Cost * Quantity of Production
In this case, the fixed cost is 9.41 thousand per ton. So, the total cost function becomes:
Total Cost = 6.4 + 9.41Q
The slope of this linear function is the coefficient of Q, which is the variable cost per ton. Therefore, the slope of the function is 9.41.
So, the answer to the question "What is the slope of this linear function?" is:
e. 9.41
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