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graphing exercise 6. the owners of a local shoe store surveyed their cu…

Question

graphing exercise

  1. the owners of a local shoe store surveyed their customers to determine how many pairs of running shoes they would buy each month at different prices. the results of the survey appear in the demand schedule below. use these data to draw a demand curve for running shoes. explain how your graph demonstrates the law of diminishing marginal utility.

demand for running shoes

pricequantity demanded
$6050
$5060
$4070
$3080

make academic connections

  1. marketing nancy is the sales manager of the shoe store described above. the owner has told her that she must set a price that allows the store to sell at least 50 pairs of running shoes next month. what price should she set? if another local store has a big sale and lowers its price for running shoes by 25 percent, will nancy’s employer reach the sales goal? why or why not?

Explanation:

Response
For Question 6:

Step1: Set up graph axes

Label x-axis: Quantity Demanded, y-axis: Price (\$)

Step2: Plot data points

Plot pairs: $(40, 70), (50, 60), (60, 50), (70, 40), (80, 30)$

Step3: Draw demand curve

Connect plotted points with a downward-sloping line

Step4: Link to diminishing MU

As quantity rises, willingness to pay (price) falls, since each additional pair gives less marginal utility.

Step1: Find price for 50 pairs

Locate quantity 50 in the demand schedule.

Step2: Identify corresponding price

The price paired with 50 units is \$60.

Step3: Analyze competitor price cut

Calculate new competitor price: $\$60 \times (1 - 0.25) = \$45$

Step4: Evaluate sales goal impact

At \$45, consumers will demand more than 50 pairs (since \$40 corresponds to 70 pairs, \$45 is between \$40 and \$50, so quantity demanded is between 60-70 pairs).

Answer:

The downward-sloping demand curve (connecting points (40,70), (50,60), (60,50), (70,40), (80,30)) shows that as the quantity of running shoes purchased increases, the maximum price consumers are willing to pay decreases. This reflects the law of diminishing marginal utility: each additional pair of shoes provides less additional satisfaction than the previous one, so consumers will only buy more if the price is lower.

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For Question 7: