Question

For the given cost function C(x)=78400+200 x+x^{2} find: The cost at the production level 1850

Answer 1

To determine the cost at a production level of 1850, the student must substitute 1850 into the cost function C(x) = 78400 + 200x + x^2. After performing the calculation, the cost is found to be $4,206,900.

Step-by-step explanation:

The student is asking how to find the cost of production at a particular level using a given cost function. In this case, the cost function is C(x) = 78400 + 200x + x^2, where x is the production level.

To find the cost at the production level of 1850, we substitute 1850 into the cost function:

C(1850) = 78400 + 200(1850) + (1850)^2
= 78400 + 370000 + 3422500
= 78400 + 370000 + 3422500
= 4206900

The cost at the production level of 1850 is $4,206,900.