150 is your correct answer
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
Learn more about demand on:
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Answer: Value of m = 9
Step-by-step explanation:
Given that the relationship between Q and m is;
Q = 17m
Make m the subject of formula
M = Q/17
If Q is greater than 150 and less than 160, then, let assume that
Q = 151, then
M = 151/17
M = 8.88
If Q = 159
M = 159/17
M= 9.35
Since m ranges from 8.88 to 9.35, the value of m = 9
Answer:
1. Construct a segment XY on the a sketch.
2. Elsewhere on the sketch, draw a line and create a point on the line . Label the point P.
3. Select point P and line segment XY. Construct circle by center and radius.
4. Select the circle and line, then construct point of intersection. Label one of the points of intersection point Q.
5. Select point P and point Q. Construct segment PQ.
6. Select the circle, line, and other point of intersection. Hide objects. Only segment XY and segment PQ should be visible on the sketch.
7. Try dragging point X. Segment PQ should lengthen and shorten as segment XY does.
<u>Answer</u>
<u>Detailed Explanation </u>
Let's set up a proportion.
Now that we have set up a proportion we would need to cross multiply.
3*x=3x
40*4.8= 192
Solve for x
Therefore, the answer would be 64.
