Mathematics: Atoy company has determined that the revenue generated by a particular toy is modeled by the following equation: 10x - 0.025x² the variable x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars. what is the maximum revenue the company can earn with this toy?

Atoy company has determined that the revenue

kesmith73

11.03.2022

Maximum revenue = 1000 thousands of dollars.

Explanation:

We have the revenue equation r(x)=10x - 0.025x^2 , where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.

At maximum revenue the derivative of equation is zero

So, $r'(x)=0\\ \\10 - 0.025*2x=0\\ \\ x=10/0.05\\ \\ x=1000/5=200$

So maximum revenue is when 200 thousands of toys are produced.

Maximum revenue, $r(200)=10*200 - 0.025*200^2\\ \\ r(200)=1000$

Maximum revenue = 1000 thousands of dollars.

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gamerdoesart

21.09.2022

Step-by-step explanation:

2 3/4 = 11/4 (there are 4/4 in 1, so 2 have 8/4, and then plus 3/4 = 11/4).

1 4/7 = 11/7 (7/7 in 1 plus 4/7 = 11/7)

so, we actuality have

11/4 ÷ 11/7 = 11/4 × 7/11 = (7×11)/(4×11) = 7/4 = 1 3/4

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