QUESTION SEVEN The average total cost of producing a commodity is given by ATC = 1000'g + 100 - Sq+q° where p is the price in shillings and q is the quantity in kilogrammes. The expected sales of commodity are 390 units at the selling price of Sh. 10 and the sales would fall to 380 units if the price is doubled to Sh 20. Required a) By using an example, explain what 1000/q in the ATC equation represents economically. b) Determine the linear demand function in the form p= a+ bq where p=price and q = quantity. c) Determine the revenue function. d) Determine the profit function, output and price for maximum profit and the maximum profit. Show that it is a maximum point. e) Determine point elasticity of demand at the point of maximum profit and interpret it.

QUESTION SEVEN The average total cost of producing a commodity is given by ATC = 1000'g + 100 - Sq+q° where p is the price in shillings and q is the quantity in kilogrammes. The expected sales of commodity are 390 units at the selling price of Sh. 10 and the sales would fall to 380 units if the price is doubled to Sh 20. Required a) By using an example, explain what 1000/q in the ATC equation represents economically. b) Determine the linear demand function in the form p= a+ bq where p=price and q = quantity. c) Determine the revenue function. d) Determine the profit function, output and price for maximum profit and the maximum profit. Show that it is a maximum point. e) Determine point elasticity of demand at the point of maximum profit and interpret it.

Principles of Economics (MindTap Course List)

8th Edition

ISBN:9781305585126

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter18: The Markets For The Factor Of Production

Section: Chapter Questions

Problem 5PA

See similar textbooks

Similar questions

Suppose the U.S. economy began to grow more rapidly than other counties in the world. What would be the likely impact on U.S. financial markets as part of the global economy?
How do economists define equilibrium in financial markets?
What is die price commonly called in the labor market?
The nation of Ectenia has 20 competitive appleorchards, all of which sell apples at the world priceof $2 per apple. The following equations describethe production function and the marginal product oflabor in each orchard:100100 2 ,2 5 25 2Q L LMPL Lwhere Q is the number of apples produced in a day,L is the number of workers, and MPL is the marginalproduct of labor.a. What is each orchard’s labor demand as a functionof the daily wage W? What is the market’s labordemand?b. Ectenia has 200 workers who supply their laborinelastically. Solve for the wage W. How manyworkers does each orchard hire? How much profitdoes each orchard owner make?c. Calculate what happens to the income of workersand orchard owners if the world price doubles to$4 per apple.d. Now suppose that the price is back at $2 perapple but a hurricane destroys half the orchards.Calculate how the hurricane affects the income ofeach worker and of each remaining orchard owner.What happens to the income of Ectenia as a whole?
use diagramsa. What is the effect on the equilibrium price and quantity traded in market of theintroduction of a new technology that reduces costs of production for all firms?b. What is the effect on the equilibrium price and quantity traded in a market of a changein tastes that reduces the demand for the product?c. What is the effect on the equilibrium price and quantity traded in a market of theimposition of a tax per unit sold on suppliers?d. What is the effect on the equilibrium price and quantity traded in a market of thepayment of a subsidy per unit sold paid to suppliers?
I would like to know just part d,e, and f. Thank you Suppose that the supply of tomato soup in a city is represented byQS = 100P – 10PT − 50where P is the price of tomato soup and PT is price of tomato needed to produce tomato soup. All prices are indollars and quantity is in liters.Assume that the current tomato price is $15.Suppose that the demand for the tomato soup is QD = 1000−60P + 0.3Iwhere P is the price of the tomato soup and I is a representative household’s income.Assume that at the equilibrium, income is $12000.a) What are the current equilibrium price and quantity of the tomato soup? Show the equilibrium on a detailedgraph.b) Suppose that income decreases to $10400. What is the new equation for the demand for tomato soup? Doesthis correspond to an increase or decrease in the demand for tomato soup? Show the effect of this event onthe equilibrium and the diagram you used in part (a)c) Start from the equilibrium in part a) and now suppose that the price of the tomato…
In the aftermath of the COVID - 19 lockdown, Ms. Kay, an entrepreneur took a one-month leave of absence (without pay) from her GHS 5,000-per-month job in order to operate a shop that sells fried chicken in Accra. She rented a shop at the West -- Hills mall to operate this venture and therefore paid the government GHS 2,500 rent per month. The food items that is directly attributable to the production of a pack of fried chicken cost her GHS 10 per pack. The inverse demand function for her consumers was as follows: P = 6010-5Q. 1. Specify the equation that summarises the cost function for her operation. ii. Suppose that in the market for fried chicken, there are many buyers and sellers, there are no entry barriers but each firm sells differentiated packs of chicken, compute the monthly profit maximising quantity for Ms. Kay's business and the maximum profit at that quantity. iii. KFC is a major competitor to Ms. Kay and has differentiated their product by switching from rubber…
Assumed that the demand (D) for potato given by demand: Q = 1500 − 15P, where Q isquantity per month measured in kilos and P is price per kilo. 1. Supply is equals to 900 kilos one day, what will the price be?2. Supply were to fall to 300 kilos, what would the price be?3. The D for Potato shifts outward to Q = 2100 − 15P, what will be answer in part 1 and 2 change?4. Graph the results
2. Thor runs a business called Heavy Hammers, which produces some of the heaviest hammers you’ve ever seen! He uses two inputs in the production of hammers: labour, denoted by L, and capital, denoted by K. Heavy Hammers produces hammers, denoted by H, according to the following production technology: H = f(L,K) = L12 K14 . Thor must pay each unit of labour a wage rate w and is able lease his capital equipment at r dollars per unit. The market price of hammers is $4. (a) Write down Thor’s profit maximization problem. (b) Write down and equation that sets the marginal product of labour equal to the wage rate of labour, w. Then write down and equation that sets the marginal product of capital equal to the lease rate, r. 2 (c) Solve the two equations from part (b) for the two unknown inputs L and K. Your solutions give the profit-maximizing choices of labour and capital as functions of the wage and lease rates, w and r. (d) If the wage is 2, and the lease rate is 1, how…
Since most consumers spend very little on salt, a small increase in the price of salt will:A. reduce quantity demanded by a large amountB. not reduce quantity demanded by very muchC. not change quantity demandedD. increase quantity demanded by a small amount 2.Fred is considering opening a ski shop in Colorado. Assume Fred will incur the following costs: building rent= $100000/year, inventory= $250000/ year, energy=$50000/year, and labor (one clerk) = $10000/year. In addition, Fred’s current income as a computer programmer is $40000 per year. Assuming Fred would earn $ 460000 in revenues, he could expect to earn:A. an accounting profit of $10000 per yearB. an accounting profit of $ 60000 per yearC. an economic profit of $ 10000 per yearD. an economic profit of $50000 per year 3.Suppose a firm employs only capital and labour (K and L) and its production function is Q = 2KL. If the quantities of labour and capital are fixed at K =10 and L = 25, then:A. total output cannot exceed 125B.…
A firm uses a single input to produce a commodity according to itsshort-run production function f(x) = 4√x, where x is the number of units ofinput. The commodity sells for $100 per unit. The input cost $50 per unit.(a) Write down a function that states the firm’s profit as a function ofthe amount of input.(b) What is the profit maximizing amount of input and output?(c) Suppose the firm is taxed $20 per unit of its output and the priceof its input is subsidized by $10, explain in detail how this will affect the newinput and output levels?
According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuringplan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Priorto restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). Tohire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishidetermine that its marginal productivity of capital is 0.5 small cars per hour at its new targetedlevel of output and that capital is procured in a highly competitive market. The same studyindicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine therate at which Mitsubishi can rent capital and marginal productivity of labour at its new targetedlevel of output. To minimize costs…