Company ABC sells 2 products : X and Y. The cost of product is for X is 400 pesos and Y is 300 pesos. The profit for X is 40 and Y is 30. The total demand for both products is 1,000 units. Production cost is 100,000 pesos. How many units that the company produce so that to earn maximum profit? Answer in mathematical expression, tabular form, constraint, and profit.
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- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…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 profit
- Your product's revenue per unit is $30, and product's cost per unit is $10. If the demand for next month is 200 units, and it costs $1000 one time to set up the machine, what is our profit (in dollars) for next month?Mr. Nyugen Ho is a Vietnamese entrepreneur who started a clothing factory in Vietnam. After two years of good business within the country's local markets, there was a huge demand for his clothes in the international markets like Canada, Australia, Japan, United States and France. But he didn't want to sell his products outside Vietnam - he has never travelled outside his country as there was always a fear of losing face (fearing that people will not respect him and will hate him for the race he belongs to). He always felt that if he set his business outside his country, he would feel unwelcomed and that his business would be attacked and exploited. Moreover, he felt that he would feel alienated (feeling different/lonely) in new surroundings. What problem is Mr. Nyugen experiencing? A.Stereotyping b.Ethnocentrism c.Individualism O d.XenophobiaGiven the input-output matrix below, find the output matrix if final demand changes to 500 for water, 180 for electric power, and 800 for agriculture. Industry Electric Power Industry: Water Electric Power Agriculture Other Water 200 100 300 400 The output matrix is X= (Round to two decimal places as needed.) 480 120 240 360 Agriculture Final Demand 180 240 120 60 290 140 600
- The demand for bricks depends on the price. A brick company can sell 500 000 bricks at $3.00 each. For every $0.10 the price is raised they sell 10 000 fewer bricks. In addition, the company's cost, C in dollars, of producing each brick is related to the number of bricks to be 主 sold, n, where C 25 1 000 000 a Create an equation to represent the company's profit, P, in térms of z, the number of $0.10 price increases, (Note: Profit will equal revenue coNt.) 6.find the selling price (to the nearest.cent) and number of bricks sold that wil lead to a profit of $740 000. < Find the maxlmum profit (to the nearest dola), as well as the selling price (to the nearest cent) and number of bricks sold that produce the maximumprefitProfit Suppose that the total weekly cost for theproduction and sale of x bicycles is C(x) = 23x +3420 dollars and that the total revenue is givenby R(x) = 89x dollars, where x is the number ofbicycles.a. Write the equation of the function that models theweekly profit from the production and sale of xbicycles.b. What is the profit on the production and sale of150 bicycles?c. Write the function that gives the average profit perbicycle.d. What is the average profit per bicycle if 150 areproduced and sold?ASK YOUR TEACHER The function gives the weekly profit, in thousand dollars, that an airine makes on its fights from Boston to Washington DC when the ticket price spelers 2nterpret the f () (60)-S When the ticket price is s (b) (60)-4.5 When the ticket price is s () (90)--2 [SA When the ticket price is s the weekly profit to the airline on fights from Boston to Washington is s MY NOTES the weekdy profit to the airtine on fights from Boston to Washington is by the weekly profit to the airine on fights from Bestion to Washington bedby
- Round 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 have the following data for product X: sales revenue $14,000, allocated fixed costs $12,000, variable costs $20,000. You cannot increase the price of product X or improve the production process to increase profitability. What should you do about product X? O do nothing - unprofitable products are just one of the costs of doing business O keep the product both in the short term and in the long term O keep the product in the short term and drop it in the long term drop the product both in the short term and in the long term O drop the product in the short term and keep it in the long termRoad Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) A.Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market. B.Now consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits?…