Question

In: Economics

Zambian Breweries sells its products in Zambia and three neighboring countries. Data collected from 2010 to...

Zambian Breweries sells its products in Zambia and three neighboring countries. Data collected from 2010 to 2018 shows that the company produced 300,000 barrels of beer annually. During this period, the average price per barrel of beer P (in Kwacha) was related to the quantity of beer sold Q (in thousands of barrels) by the demand function

P=-0.3224Q+245.4031

The total cost of producing Q thousand barrels of beer was

TCQ=101.1995Q+4699.3441

  1. At what output level revenue be maximized?
  2. Find the quantity and price levels that maximize profit.

Solutions

Expert Solution

(a)

Revenue = PQ = (-0.3224Q+245.4031)Q

To maximize revenue we take the FOC wrt Q and equate it to 0 (MR =0)

=> 245.4031 = 2*0.3224Q

=> Q = 245.4031/ 2*0.3224 = 39.55 = 40

(b) The firm will maximize profit at a point where MR = MC

TC = 101.1995Q+4699.3441

=> MC = 101.1995

Thus, at profit max we have,

245.4031 - 2*0.3224Q = 101.1995

=> Q = (245.4031 - 101.1995)/ 2*0.3224

= 23.24 = 23

Thus, P = -0.3224*23+245.4031 = 237.98


Related Solutions

Heineken sells its products in Namibia and three neighboring countries. Data collected from 2010 to 2018...
Heineken sells its products in Namibia and three neighboring countries. Data collected from 2010 to 2018 shows that the company produced 300,000 barrels of beer annually. During this period, the average price per barrel of beer P (in Namibian dollars) was related to the quantity of beer sold Q (in thousands of barrels) by the demand function P=-0.3224Q+245.4031 The total cost of producing Q thousand barrels of beer was TCQ=101.1995Q+4699.3441 At what output level revenue be maximized? Find the quantity...
Two neighboring countries – Romulus and Remus – are experiencing a recession. Romulus’ government reduces its...
Two neighboring countries – Romulus and Remus – are experiencing a recession. Romulus’ government reduces its expenditure during the recession, while Remus’ government increased the supply of money in the economy. Explain which of the two policies will help the economy recover from the recession? How will Fiscal countercyclical policy affect the labor market in Remus if wages are downwardly rigid? Explain with a diagram. The unemployment rate in Romulus has been increasing. What will be the impact on the...
Parallel Enterprises has collected the following data on one of its products. During the period the...
Parallel Enterprises has collected the following data on one of its products. During the period the company produced 25,000 units. What is the direct materials price variance? Direct materials – standard (7 kg. @ $2.40/kg) $16.80 per finished unit Actual cost of materials purchased $402,500 Actual direct materials purchased and used 158,000 lbs
Parallel Enterprises has collected the following data on one of its products. During the period the...
Parallel Enterprises has collected the following data on one of its products. During the period the company produced 25,000 units. What is the direct materials price variance? Direct materials – standard (7 kg. @ $2.40/kg) $16.80 per finished unit Actual cost of materials purchased $402,500 Actual direct materials purchased and used 158,000 lbs a. $23,300 U b. $23,300 F c. $40,800 F d. $40,800 U e. $17,500 U Parallel Enterprises has collected the following data on one of its products....
Consider the table of data collected for the reaction A → Products.
Consider the table of data collected for the reaction A → Products. Determine the magnitude (value) of the reaction rate constant by graphing the data appropriately. 
Galaxy Inc., an American multinational that sells consumer electronic products, has manufacturing facilities in three countries:...
Galaxy Inc., an American multinational that sells consumer electronic products, has manufacturing facilities in three countries: Mexico, Taiwan, and Canada. The average hourly wage rate, output per worker, and annual overhead cost for each location are as follows Mexico Taiwan Canada Hourly wage rate Output per worker Fixed overhead cost $3.00 20 $150,000 mexico $6.00 36 $90,000. taiwAn $12.00 40 $110,000 canda Given the above figures, in your opinion, is Galaxy currently allocating its production resources optimally? If not, what...
Fletcher Company collected the following data regarding production of one of its products. Compute the variable...
Fletcher Company collected the following data regarding production of one of its products. Compute the variable overhead efficiency variance. Direct labor standard (2 hrs. @ $12.60/hr.) $ 25.20 per finished unit Actual direct labor hours 101,500 hrs. Budgeted units 61,000 units Actual finished units produced 50,000 units Standard variable OH rate (2 hrs. @ $16.20/hr.) $ 32.40 per finished unit Standard fixed OH rate ($603,900/61,000 units) $ 9.90 per unit Actual cost of variable overhead costs incurred $ 1,614,000 Actual...
22. Fletcher Company collected the following data regarding production of one of its products. Compute the...
22. Fletcher Company collected the following data regarding production of one of its products. Compute the variable overhead cost variance. Direct labor standard (2.0 hrs. @ $13.40/hr.) $ 26.80 per finished unit Actual direct labor hours 92,500 hrs. Budgeted units 47,500 units Actual finished units produced 45,500 units Standard variable OH rate (2 hrs. @ $15.20/hr.) $ 30.40 per finished unit Standard fixed OH rate ($589,000/47,500 units) $ 12.40 per unit Actual cost of variable overhead costs incurred $ 1,379,200...
1.) Georgia, Inc. has collected the following data on one of its products. The direct materials...
1.) Georgia, Inc. has collected the following data on one of its products. The direct materials price variance is: Direct materials standard (3 lbs @ $1/lb) $3 per finished unit Total direct materials cost variance—unfavorable $22,250 Actual direct materials used 100,000 lbs. Actual finished units produced 25,000 units 2.) Milltown Company specializes in selling used cars. During the month, the dealership sold 32 cars at an average price of $16,000 each. The budget for the month was to sell 30...
Variance Analysis Peter Enterprises has collected the following data on one of its products. During the...
Variance Analysis Peter Enterprises has collected the following data on one of its products. During the period the company produced生产了(件) 25,000 units. The direct materials quantity variance 直接原材料数量差异is: Direct materials standard (7 kg. @ $2.05/kg) $14.35 per finished unit Actual cost of materials purchased $332,150 Actual direct materials purchased and used 151,000 kg Multiple Choice $22,600 favorable. $26,600 unfavorable. $49,200 favorable. $49,200 unfavorable. $22,600 unfavorable.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT