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Marina CMI [18]
3 years ago
9

If short-run marginal cost and average variable cost curves for a competitive firm are given by SMC = 2 + 4Q, and AVC = 2 + 2Q,

a)how many units of output will it produce at a market price of $10? (15 points)b)At what level of fixed cost will this firm earn zero economic profit?
Business
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

units of output  = 2 units

fixed cost = 8

Explanation:

given data

SMC = 2 + 4Q

AVC = 2 + 2Q

to find out

how many units of output will it produce at a market price and what level of fixed cost will this firm earn zero economic profit

solution

we know here that  under perfect competition

so at the equilibrium here Price (P)  will be = MC

P = MC = 10

and

SMC = 2 + 4Q ,

P = 2 + 4Q

10 = 2 + 4Q

Q = 2 units

and

at zero economic profit we get

TR = TC    

TR = P × Q

TR = 10 × 2

TR = 20

so

TC = TFC + TVC

20 = TFC + 12    

TFC  = 8

because here [ TVC = AVC × Q ]

[ TVC = (2 + 2 × 2) × 2 ]  

[ TVC = 12 ]

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If a borrower can afford to make monthly principal and interest payments of 1000 and the lender will make a 30 year loan at 5 1/
Alexus [3.1K]

Answer:

The the largest loan this buyer can afford is 14,533.75.

Explanation:

This can be determined using the formula for calculating the present value of an ordinary annuity as follows:

Step 1: Calculations of the present value or the loan the buyer can afford for a 30 year loan at 5 1/2%

PV30 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV30 = Present value or the loan the buyer can afford for a 30 year loan at 5 1/2% =?

P = monthly payment = 1000

r = interest rate = 5 1/2% = 5.50% = 0.055

n = number of years = 30

Substitute the values into equation (1) to have:

PV30 = 1000 * ((1 - (1 / (1 + 0.055))^30) / 0.055)

PV30 = 1000 * 14.5337451711221

PV30 = 14,533.75

Step 2: Calculation of the present value or the loan the buyer can afford for a 20 year loan at 4 1/2%

PV20 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where;

PV30 = Present value or the loan the buyer can afford for a 20 year loan at 4 1/2% =?

P = monthly payment = 1000

r = interest rate = 4 1/2% = 4.50% = 0.045

n = number of years = 20

Substitute the values into equation (1) to have:

PV20 = 1000 * ((1 - (1 / (1 + 0.045))^20) / 0.045)

PV20 = 1000 * 13.0079364514537

PV20 = 13,007.94

Conclusion

Since 14,533.75 which is the present value or the loan the buyer can afford for a 30 year loan at 5 1/2% is greater than the 13,007.94 which is the present value or the loan the buyer can afford for a 20 year loan at 4 1/2%, it therefore implies that the the largest loan this buyer can afford is 14,533.75.

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