The inverse demand function of the given demand function is <u>p = 50 - q/2</u>.
A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.
The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.
Given demand function: q = 100 - 2p.
To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:
q = 100 - 2p,
or, 2p = 100 - q,
or, p = 100/2 - q/2,
or, p = 50 - q/2.
Thus, the inverse demand function of the given demand function is <u>p = 50 - q/2</u>.
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Answer:
The y-intercept is at (0,8), so you can graph that point. Then the slope is -3/5. So the change in y coordinate divide the change in x coordinate is always -3/5. Thus 8-y/0-x=-3/5. You can choose any value for y and x as long as 8-y=-3. And 0-x=5. The point on the graph will just be (x,y) for the values you find.
a >= 200
5 a + 2.5 c <=1500
Step-by-step explanation:
Step 1 :
Let c be the number of child t shirt and a be the number of adult t-shirts
Given the cost of adult t-shirt is $5 and the cost of child t-shirt is $2.50
Step 2 :
Inequality 1
Given that Jerome needs at least 200 adult t-shirts .
So the minimum quantity of adult t-shirts should be 200
Hence we have a >= 200
Step 3 :
Inequality 2
Given that the total cost should be less that $1500
We have,
5 a + 2.5 c <=1500
Answer:
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Step-by-step explanation: