Wonderful Wearables is a personal technology company that has stylish accessorie
ID: 1226158 • Letter: W
Question
Wonderful Wearables is a personal technology company that has stylish accessories that deliver apps of all kinds. Its current Marginal Cost (MC), Average Cost (AC), and Demand curves are indicated below by the the curves labeled with the number 1. Millennial Marketing believes that with right advertising campaign Wonderful Wearables can increase both its demand and reduce the elasticity of demand for its products thus increasing its overall profit. The estimated increase in both costs and demand are depicted below by the curves labeled with the number 2.
Part 1: Use the infinite line drawing tool to draw the marginal revenue curve (MR) for Wonderful Wearables both before and after Millennial's ad campaign and label them with a 1 before the campaign and a 2 afterwards.
Part 2: Use a double drop line tool to show where the firm will produce and what price it will charge with and without advertising. Label these profit maximizing Prices and Quantities appropriately (PQ1 & PQ2).
Part 3: Use a horizontal line tool to show the firm's Average Costs at both levels of production: Q*1 (without advertising) and Q*2 (with advertising), and label them accordingly.
Part 4: Use the quadrilateral tool to identify the amount of profit or loss this firm will experience both with and without advertising and label them appropriately.
Hint: Work through the case without advertising first with snapping switched on and then work through the case with advertising with snapping switched off.
Explanation / Answer
Part 1
For the question above the tools cannot be used here, so the explanation and procedure to draw the required curves is explained.
Marginal Revenue(to be drawn in red)= TR2 - TR1
For example from the graph
TR1 at P=80 is 80X10=800
TR2 at P=70 is 70X20=1400 and so on
MR= TR2 - TR1 = 1400-800=600
TR3 at P=60= 1800
so next MR= 1800-1400= 400 and so on
Though definitionally MR is the revenue derived by selling ONE additional unit the procedure yeilds the same output
The MR curve so derived is the MR1 before the campaign
For the MR curve after the campaign
we focus on the demand curve after the campaign i.e. Demand curve 2
At price 130 the quantity demanded is 12.5 so the TR would be
TR'1 = 130X12.5=1625
and TR'2 at P=120 is 2400
so the MR is 2400-1625=775
using the same procedure we get MR2
TR3 at P=110 is 2,750
MR2 = 2,750-2,400= 350
we plot these points on the graph as a darker shade of red to get MR after the campaign
when we plot these values for every quantity given we get the MR curve
Part 2
Equilibrium quantities and Prices
Once the MR curve is drwan we are ready to get our equilibrium
Equilibrium is at the point where MC= MR
For the equilibrium before the camapign
the point of intersection of MC1(green) and the red MR1 is the equilibrium(E1)
From this point of intersection or equilibrium drop a perpendicular line using a drop line tool to the X-axis or the quantity axis. The quantity is the equilibrium qunatity produced.
From this point of intersection or equilibrium draw a perpendicular line using a drop line tool to the Y-axis or the price axis. The price is the equilibrium price charged.
Similarly for the post campaign equilibrium :
the point of intersection of MC2(dark green) and the red MR2 is the equilibrium(E2)
From this point of intersection or equilibrium drop a perpendicular line using a drop line tool to the X-axis or the quantity axis. The quantity is the equilibrium qunatity produced.
From this point of intersection or equilibrium draw a perpendicular line using a drop line tool to the Y-axis or the price axis. The price is the equilibrium price charged.
Part 3
Average Cost with and without advertisement
Without adevrtisement
At point E1 draw a line form Q1 extending upto the AC1 curve
From this point on the AC1 curve draw a line to the Y-axis using a horizontal line tool. The price so derived is the AC1 or AC before advertising
With advertising
Without adevrtisement
At point E2 draw a line form Q2 extending upto the AC2 curve
From this point on the AC2 curve draw a line to the Y-axis using a horizontal line tool. The price so derived is the AC2 or AC with aadvertising
Part 4
The difference between AR and AC is the Average Profit or the per unit profit or loss
Multiply it with the number of units produced to get the total profit or loss
On the graph without adevrtising and at E1
Draw a horizontal line between AR1( or the light blue demand curve) and the AC1 (or the dark blue AC curve) gives us the Average profit. From these two points on the AC1 and AR1 curves draw horizontal lines to the Price axis. The rectangle so derived, is the total profit. It can also be drawn using the quadrilateral tool in the covering this area as derived.
On the graph with adevrtising and at E2
Draw a horizontal line between AR2( or the dark blue demand curve) and the AC2 (or the light blue AC curve) gives us the Average profit. From these two points on the AC2 and AR2 curves draw horizontal lines to the Price axis. The rectangle so derived, is the total profit. It can also be drawn using the quadrilateral tool in the covering this area as derived.
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