The function C(x)=x2−4x+28 models the cost, in hundreds of dollars, to produce x thousand pens. Find the total cost to produce 36,000, 139,000, and 222,000 pens.
(a) Cost to produce 36,000 pens is?
To find the cost to produce 36,000 pens using the given function C(x) = x² - 4x + 28, you need to substitute x = 36 into the function and calculate the result. Here's how you can do that:
Step 1: Replace x with 36 in the function C(x) = x² - 4x + 28
C(36) = (36)² - 4(36) + 28
Step 2: Simplify the expression within parentheses.
C(36) = 1296 - 144 + 28
Step 3: Perform the indicated operations to find the total cost.
C(36) = 1180
Therefore, the total cost to produce 36,000 pens is 1,180 hundred dollars.