An aircraft factory manufactures airplane engines. The unit cost

C
(the cost in dollars to make each airplane engine) depends on the number of engines made. If
x
engines are made, then the unit cost is given by the function
=Cx+−0.2x248x21,748
. What is the minimum unit cost?

Do not round your answer.

I can't figure out your function. Usually these things are quadratics, so try writing it using x^2 for "x squared" and "*" for multiplication, since "x" is the variable name.

To find the minimum unit cost, we need to find the minimum point on the cost function provided. The cost function is given by C(x) = x - 0.2x^2/48x + 21748.

To find the minimum point on the cost function, we need to take the derivative of the cost function and set it equal to 0. The derivative of the cost function is given by:

C'(x) = 1 - (0.2/48)x -2 + 21748x^0 = 1 - (0.2/48)x - 2 + 21748

Setting the derivative equal to 0, we have:

1 - (0.2/48)x - 2 + 21748 = 0

Simplifying the equation, we have:

1 - 0.00416x - 2 + 21748 = 0

-0.00416x - 1 = -21748

-0.00416x = -21747

x = -21747 / -0.00416

x ≈ 5,231,971.15

Since we're dealing with the number of engines made, x cannot be a fraction or a negative number. Therefore, we can't have a minimum point within the feasible domain.

So, there is no minimum unit cost in this case.