economics homework on cost function

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solution_by_dovecy13.xls

Sheet1

Yc=A+BX straight line equation.
TC Qsold Qproduced Qdemanded price labor investment income Expenses coefficient
Qtr 1 $4,415,000 499,999 499,999 549,425 $9.25 50,000 5 $20,000 $150,000 $0.30
Qtr 2 $5,186,644 587,236 587,236 714,993 $9.25 60,000 5 $20,600 $150,000 $0.26
Qtr 3 $5,174,189 548,667 647,480 548,667 $9.75 70,000 5 $21,000 $125,000 $0.19
Qtr 4 $7,282,201 766,297 667,484 833,521 $9.65 75,000 5 $21,200 $200,000 $0.30
Qtr 5 $7,630,401 811,784 811,764 860,747 $9.90 85,000 6 $21,400 $200,000 $0.25
Qtr 6 $6,971,144 697,396 828,822 697,396 $10.25 95,000 6 $22,000 $150,000 $0.18
Qtr 7 $7,915,228 715,182 829,046 829,046 $11.50 100,000 6 $21,600 $325,000 $0.39
Qtr 8 $6,901,834 764,199 769,903 769,903 $10.00 75,000 6 $21,600 $150,000 $0.19
Qtr 9 $7,719,569 811,784 811,784 811,784 $10.05 85,000 6 $21,600 $225,000 $0.28
Qtr 10 $4,011,162 425,280 656,281 656,281 $10.75 60,000 6 $21,200 $125,000 $0.19
Qtr 11 $8,688,700 744,619 829,046 829,046 $11.76 100,000 6 $22,000 $400,000 $0.48
Qtr 12 $8,780,822 673,009 1,106,471 1,103,171 $12.35 140,000 8 $22,000 $400,000 $0.36
sum of co. $3.37
average co. $0.28
question one
TC=labor+ unit produced*cost per unit
TC=labor +unit produced(expenses/ unit produced)
therefore cost function is given by:
TC= 50000 + 499999(150000/499999)
TC = 50000 + 499999(0.30)
question two
total income= 60000*9.25
$555,000
Total Cost = 60000 + 60000 * 0.28 = 78,800
Average cost = total cost / unit produced
so, Average Cost = 78800/60000 = $1.31/unit
and
Marginal cost (or revenue or profit) is the instantaneous
rate of change of cost (or revenue or profit) relative to
production at a given production level
Marginal Cost= C'(x+1) - C(x)
Question Three
According to the results obtained in question two the firm is operationg
at profit although they are not fully exploiting their potential.
in my view I would recoment the company management to ensure they start
a process of increasing their production so that they can get a better
competive advantage and exploit the available market opportunities fully.
By doing so they will be on the safe side of their operations.
question Four
total income= 70000*9.25
$647,500
TC=70000+ 70000*0.28
$19,600
The second manufacturer is doing better as compared to the first one. However he is not enjoying
economies of scale. The manufacturer should increase his production so that he can maximise his
profitability.

Sheet2

Sheet3