Assume a competitive firm faces a market price of $70, a cost curve of C = 0.003q3 + 50q + 750
and a marginal cost of:
Mc= 0.009q2 + 50.
The firm's profit maximizing output level isunits and the per unit profit at this output level is $.
This firm willin the short run The firm will realize. In the long-run, if circumstances do not change, this firm will.

Answer and Explanation:

The computation of Output level is shown below:-

The equilibrium condition of competitive firms will be

P = MC

70 = 0.009q^2 + 50

0.009q^2 = 70 - 50

0.009q^2 = 20

q^2 = 20 ÷ 0.009

q^2 = 2,222.222222

So,

q = 47.14045208

or

= 47.14

The computation of profit per unit is shown below:-

Total profit = Total sales - Total cost

= ($70 × 47.14) - (0.003q^3 + 50q + 750)

= $3299.8  - {0.003 (47.14)^3 + 50 × 47.14 + 500}

= -$121.460639032

or

= -$121.46

Profit per unit = Total profit ÷ Output

= -$121.46 ÷ 47.14

= -$2.58

The computation of Produce or shutdown is shown below:-

Total variable cost (TVC) = 0.003q^3 + 50q

= 0.003 (47.14)^3 + 50 × 47.14

= 2671.260639

or

= 2,671.26

AVC = Total cost ÷ Output

= 2,671.26 ÷ 47.14

= 56.66652524

or

= 56.67

Here, $70 which is the market price is higher than AVC that is 56.67, so the company will produce

The firm will realize an economic loss in the long run. If the situation will not modify, this firm will shut down.

In the short term, the company can deliver as its marginal income exceeds the marginal cost. Yet in the long run, the company would suffer an economic loss because the average income per unit is smaller than the average expense per unit. But it would suffer a loss in the long run, but then would prefer to shut down.

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.

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