Knowee
Questions
Features
Study Tools

A manufacturer of soccer balls has a monthly fixed cost of $300 and a processing cost of $19 for each soccer ball produced. If x represents the number of soccer balls produced/sold, determine the total cost function, C(x).

Question

A manufacturer of soccer balls has a monthly fixed cost of 300andaprocessingcostof300 and a processing cost of 19 for each soccer ball produced. If x represents the number of soccer balls produced/sold, determine the total cost function, C(x).

🧐 Not the exact question you are looking for?Go ask a question

Solution

The total cost function, C(x), is determined by adding the fixed costs to the variable costs (which depend on the number of units produced).

The fixed cost is $300, which does not change with the number of soccer balls produced.

The variable cost is $19 per soccer ball, so if x is the number of soccer balls produced, the variable cost is 19x.

Therefore, the total cost function, C(x), is the sum of the fixed cost and the variable cost, which is:

C(x) = 300 + 19x

This problem has been solved

Similar Questions

If each soccer ball sells for $49, determine the revenue function, R(x).

A manufacturer of DVD players has weekly fixed costs of $1,520 and variable costs of $12.50 per units for one particular model. The company sells this model to dealers for $19.50 each.Match the statement with the correct answer.Write the function for the weekly total costs, C(x). Write the function for the total revenue function, R(x). Write the function for the profit function, P(x). This is the cost (in dollars) of producing 150 DVD players. This is the profit (in dollars) when 150 DVD players are sold but since it is negative it means that the company loses money when 150 DVD players are sold. Each additional DVD player sold increases the profit by this many dollars. This is the revenue (in dollars) generated from the sale of 150 DVD players.

Assume it costs Microsoft $4,300 to manufacture 6 Xbox 360s and $7,900 to manufacture 12. Obtain the corresponding linear cost function.C(x) = What was the cost (in dollars) to manufacture each additional Xbox?$ Use the cost function to estimate the cost of manufacturing 60 Xboxes (in dollars).$

Edmund bought 3 soccer balls and 6 baseball caps for $192. If 1 soccer ball costs the same as 6 baseball caps, what is the cost of 1 soccer ball and 1 baseball cap?The cost of 1 soccer ball and 1 baseball cap is $.Recommended Heuristic: Use Equations

For soccer season, Harold wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $14.95, the shorts cost $5.45, and the shoes cost $12.20. Harold has $7.00. How much more money does Harold need?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.