Question

It costs Damage Inc. $1.88 for each Super Slingshot it produces. The initial cost to the company for production, marketing and paying workers is S16,000,

Write a linear function that describes the total cost f(x) of producing x slingshots, and use your function to find out how much it will cost to produce 1000
slingshots.

Answer 1

The total cost of producing x slingshots consists of the fixed cost (the initial cost to the company for production, marketing, and paying workers) and the variable cost (the cost per unit multiplied by the number of units produced). Therefore, the linear function that describes the total cost f(x) of producing x slingshots can be expressed as:

f(x) = 16000 + 1.88x

where x is the number of slingshots produced, and f(x) is the total cost.

To find out how much it will cost to produce 1000 slingshots, we can substitute x = 1000 into the function and evaluate:

f(1000) = 16000 + 1.88(1000)

f(1000) = 16000 + 1880

f(1000) = 17880

Therefore, it will cost $17,880 to produce 1000 slingshots.