The cost to produce x items is given by the function C(x) = 1200 + 8x + 0.01x^2.

a) Write a function that represents the average cost of producing x items.
b) Use the derivative of the function from a) to find the number of items that should be produced to minimize the average cost.

2 answers

(a) A(x) = C(x)/x = 0.01x + 8 + 1200/x
(b) dA/dx = 0.01 - 1200/x^2
so find where dA/dx=0
You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax? Write in distribution property and without.