Answer:
17
Step-by-step explanation:
The price p based on the equation given is p = 3000 - 0.1x.
<h3>How to express the price?</h3>
The equation given in the question is x = 3000 - 10p. The price(p) will be:
x = 3000 - 10p.
Make p the subject of the formula
x + 10p = 3000
10p = 3000 - x
p = (3000 - x)/10
p = 3000 - 0.1x
The revenue will be price multiplied by quantity. This will be:
= (3000 - 0.1x) × x
= 3000x - 0.1x²
The marginal revenue will be calculated after differentiating. This will be:
= 3000x - 0.1x²
= 3000 - 0.2x
The demand which is the quantity based on the information will be:
3000 - 0.2x = 0
0.2x = 3000
x = 1500
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Answer:
<em>y = 3x + 1</em>
Step-by-step explanation:
y = mx + b
The slope, or <em>m</em>, is 3.
The y-intercept, or <em>y</em>, is 1.
Plug them into the equation.
y = mx + b
<em>y = 3x + 1</em>
Divide 3.90 by 6: 3.9/6=.65. They each paid 65¢ :)