Linear-Quadratic Systems — Quiz Answers

What are the break-even points?

Jamar owns a clothing store. His fixed costs are $⁢800 per month, and it costs $⁢10 to produce each item. Your revenue is $⁢0 when 0 items are sold and $⁢0 when 150 items are sold due to market saturation. The maximum revenue occurs when 75 items are sold. Write a system of equations for the linear cost function, C⁡(x) , and a quadratic revenue function, R⁡(x) , where x represents the number of items sold.

When does the maximum revenue occur?

Jamar owns a clothing store. His fixed costs are $⁢800 per month, and it costs $⁢10 to produce each item. Your revenue is $⁢0 when 0 items are sold and $⁢0 when 150 items are sold due to market saturation. The maximum revenue occurs when 75 items are sold. Write a system of equations for the linear cost function, C⁡(x) , and a quadratic revenue function, R⁡(x) , where x represents the number of items sold.

What are the break-even points?

How many units need to be sold to maximize the company's revenue?

How many necklaces need to be sold to reach the maximum revenue?

Part of the system of equations has been graphed. Graph the linear equation. y=x^2−4 y=x−2

How many units need to be sold to maximize the company's revenue?

A boutique owner sells handcrafted scarves. The fixed monthly costs are $⁢500 , and the variable cost per scarf is $⁢10 The boutique's revenue is $⁢0 when 0 scarves are sold and $⁢0 when 100 scarves are sold due to market saturation. The maximum revenue occurs when 50 scarves are sold. Which system of equations represents the linear cost function C⁡(x) and the quadratic revenue function R⁡(x) , where x represents the number of scarves sold?

When does the maximum revenue occur?