Question

The cost in dollars, C(x), to manufacture x units of a new vaccine is given by the function C(x)=22x+100. The vaccine manufacturer had a cost of $1200 for a given month. How many units of the vaccine were manufactured in that month?

Answer 1

To find the number of units of the vaccine manufactured in a given month, we need to solve the equation C(x) = 1200.

Step-by-step explanation:

The cost to manufacture x units of a new vaccine is given by the function C(x) = 22x + 100. We are given that the cost for a given month is $1200. To find the number of units manufactured in that month, we need to solve the equation C(x) = 1200.

Set C(x) = 1200: 22x + 100 = 1200.

Subtract 100 from both sides: 22x = 1100.

Divide both sides by 22: x = 50.

Therefore, 50 units of the vaccine were manufactured in that month.