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If the price of one steam iron is dollar 48 and fied cost is 20 also the price p and the demand x for a particular steam iron are related by the equation X=1000-20p 1
If the price of one steam iron is dollar 48 and fied cost is 20 also the price p and the demand x for a particular steam iron are related by the equation X=1000-20p 1.Find Marginal average Profit 2.Find the breakeven point F DOO F
Expert Solution
Price of one steam iron (P) = 48
Demand Equation is X= 1000 - 20P , we can also write P = [50 - (X/20)]
Hence,Total Revenue is (TR)= PX
And the Total Cost is (TC) = 20X [since the fixed cost for one steam iron is 20]
Then Total Profit(
)= TR - TC = PX - 20X = [50 - (X/20)] X - 20X
Now, Total Average Profit (
/X)= [50 - (X/20)] - 20
Answer 1:
Then Marginal Average Profit =
= - (1/20) = - 0.05
Answer 2:
At the break-even point, Total Revenue is (TR) is equals to Total Cost is (TC).Hence in this situation the Total Profit will be zero.
So, TR = TC
PX = 20X
[50 - (X/20)] X = 20X
50X - (X2/20) = 20X
30X - (X2/20) = 0
600X - X2 = 0
X(600 - X) = 0
Hence X= 0 or 600
X = 0 is ignored because in this situation production has not started. So we take X= 600.
Then the break-even point is at X=600.
At this situation price will be P = 20 [ since P= [50 - (X/20)] = [50 - (600/20)] = 20 ]
Then TR =PX=20 x 600 =12000
TC= 20X=20 x 600 = 12000
hence the Total Profit(
)= 0.
That's all.Thank You.
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