The production cost for a t-shirt printing company is a function of the number of t-shirts that are printed, t. The function that models the production cost is f(t) = 0.1t2 − 6t + 100. How many t-shirts does the company have to print for its production cost to be $40 or less? Enter your answers whole numbers.

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

Step-by-step explanation:

Given that,

The function that models the production cost is

To find the number of t-shirt, we put f(t)=40 in given function.

∴40= 0.1t²-6t+100

⇒ 0.1t²-6t+100-40=0

⇒0.1 t²- 6t +60=0

⇒t²-60t+600=0

Applying quadratic formula , a=1, b= - 60 and c=600

  = 47.32,12.67

 ≈47, 12

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.