Sweatshirts were on sale at the local gift shop. the cost to produce the shirts was c=0.4n^2- 32n + 650 where c is cost in dollars and n is number of shirts produced. how many shirts were produced to minimize the cost? what was the minimum cost?

The cost to produce n shirts is given as:



The cost function is a quadratic function with a positive leading coefficient, so the minimum value will be at the vertex of the function. 

The vertex of a quadratic function can be calculated as:



a = coefficient of squared term = 0.4
b = coefficient of n term = -32

Using these values, we get:



This means, the cost will be minimized if 40 t shirts are produced. 

The minimum cost can be found by calculating C at n=40

So, the minimum cost will be:

C(40) = 0.4(40)² - 32(40) + 650

C(40) = 10

Therefore, the minimum cost to produce a t shirt will be $10