BigSwaba Corp produces virus home test kits which it sells in the market. It pays a marketing company to post Instagram images of people using the kits in the comfort of their own homes. The demand for the kits and cost of production are as follows: 1 Demand: p= 48+m' 2 1/2 --a Cost: C=200+=q² +m 2 Where m is the firm's marketing expenditure. Assume the CEO of BigSwaba asks you to help the company maximize profit. а. How many kits should the company sell and at what price?
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- A major software developer has estimated the demand for its new personal finance software package to be Q=1,000,000P-2 while the total cost of the package is C = 10,000+ 25Q. If this firm wishes to maximize profit, what percentage markup should it place on this product where percentage markup is defined as 100*(sale price - marginal cost)/marginal cost? 4. a. b. C. d. e. ANS: 90% 100% 20% 40% 250%you are an accountant for a manufacterer of radios. the demand function for the tablets is p= 40-4x2 where x is the number of tablets produced in millions. it costs the company $15 to make a tablet. write an equation for the manufactures profit as a function of the number of tablets produced. the company currently produces 1 million tablets and makes a profit of $21000000, but you would like to scale up production a bit, what greater number of tablets could the company produce to yield the same profitPakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC Given above costs can you determine what will be the firm’s production in Stage 1? What is the breakeven price and breakeven quantity for this firm? What is the shutdown price and quantity for this firm? Draw the firm’s costs in a graph as per your determination in (a). Label the breakeven and shutdown price and quantity using information in (b) and (c) above. Given the market price of Pak$ 50 how many units should the firm produce? how many firms are competing in this market in short-run? How many firms will be in the industry in the long-run? How do you interpret the profit or loss condition of PakPerfect? Use a two-panel graph of the Market and…
- A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit functionRound off your final answer to whole #. A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5,000 p=47 + -forD>1 D D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $39 per unit. What is the number of units that should be produced and sold each month to maximize profit?You are the CEO for a lightweight compasses manufacturer. The demandfunction for the lightweight compasses is given by p = 40 − 4q2where q is the number of lightweight compasses produced in millions.It costs the company $15 to make a lightweight compass.(i) Write an equation giving profit as a function of the number of lightweight compasses produced.
- Exercise 4.6 An econometrician hired to analyse a local golf course has determined that there are two types of golfers, the regular and the occasional. The annual demand for games from regular players is given by QH = 24 – 0.3P, where P is the price of a round of golf. On the other hand, the annual demand for occasional items is given by QO = 10 – 0.1P. The marginal cost and the average total cost per item are equal to €20. a) If you could distinguish between regular and casual players, what price would be set for each type? How many games would each type of player play? How much profit could the golf course generate? Represent graphically. b) As an alternative to the discrimination of third degree prices, those in charge consider a double tranche rate according to which the members can play as many games as they wish at a price of € 20 per game. How much profit will the golf course generate if it charges all players the same annual fee for becoming a member of the club? What if you…PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. a- Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC b- Given above costs can you determine what will be the firm’s production in Stage 1? c- What is the breakeven price and breakeven quantity for this firm?AMCO is a firm producing tables in Spain. It has a fixed cost of 100$ and a cost per unit of production of 2$. The demand function for a table is given by: P = 60 - 4Q 1. Find the equations of TR and TC. 2. Write down the equation of the profit. 3. Find Qwhen TR = 0 (x-intercept/roots). 4. Find Qwhen TR is a maximum. 5. Deduce the maximum total revenue (TR max).
- On the occasion of summer vacation, a student plans to open a milk tea shop. Before deciding to open a store, she wants to find out how profits fluctuate with fluctuations in selling prices and costs per unit of product. The selling price per cup of milk tea can range from VND 20,000.00 to VND 30,000.00 (the level of change is VND 1,000.00 each time) and the cost to make a cup of milk tea can range from VND 13,000.00 to VND 17,000.00 (the level of change is VND 500 each time). Knowing that the initial fixed cost is VND 24,000,000.00 and the number of cups of milk tea sold (Demand) depends on the selling price according to the formula: Demand = 24000 - 0.5 * Unit Price Use the two-dimensional sensitivity analysis to answer the following questions: a) What is the profit if the selling price is 23,000.00 VND and the cost per unit is 15,000.00 VND? b) How will profit change with each increase in cost of a product unit by VND 500.00 with a constant selling price of VND 25,000.00? c) What is…Jasmine decides to make and sell jelly cups. It costs jasmine Rs.1000 to set up and Rs.50 per cup made. She decides to sell each cup for 150. By using this information, answer the following questions: A) Write and equation for jasmine's revenue, cost and profit functions? B) Graph each function on a set of axes? C) Find the breakeven point from these graphs? ( D) How many jelly cups will jasmine need to sell in order to make a profit? (E) If jasmine wishes to make a profit of 50, how many jelly cups does she need to sell?|1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)