(a) The new PlayBox gaming consoles retail for $900 each. However, a shortage of consoles caused by manufacturing delays and parts supply issues have lead to scalpers purchasing large numbers of consoles and reselling them for a profit. Due to a manufacturing fault, the scalper incurs a 50% loss on six consoles. i) If the scalper normally makes a 40% profit on the consoles, how many consoles must they sell to make up for their loss? ii) The scalper is impatient and decides to increase their price to make up for the loss faster. What price must they resell the consoles at to make back their loss upon the sale of their fourth console at the increased price?
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- A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 75 – 0.1D units (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. Solve, a. What is the maximum profit per month related to thisproduct? b. What is the range of profitable demand during a month?XYZ company can manufacture their own products and sells them. They are able to control the demand by changing the price that is determined by the equation below. The company is thinking of maximizing their profit. The fixed cost is $1,000 per month and the variable cost is $40 per unit. Find the number of units that must be manufactured and sold monthly to maximize profit. (Demand D in the equation is monthly) Hint: Profit = Total Revenue - Total Cost 2,700 5,000 p = $38 + D for D > 1 D2 1 Add file
- 10. Smart Phones, Inc. buys one model of smartphone, paying $2370 per case of 20 phones. Find the asking price for each assuming a 40% markup on cost.show solution An oil refinery produces one base type of crude oil. The total cost is given by the equation Total Cost, TC = 50,000+20.2D +0.0001D2. The sales price in dollars per barrel is 35. At what level of production in barrels/week is cost/barrel minimum? What is the minimum cost per barrel? What is the maximum weekly profit that the company can make? At what level of production is the maximum weekly profit attainable? and Over what range of production is profit possible? Express answers in whole numbers and write the numerical values only.Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. If the company charges $15 per pair, how many pairs must it sell to break even? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Ace would like to earn a profit of $2 million; how many pairs must they sell at a price of $15? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Suppose a consultant tells Ace it can sell 700,000 heel repair kits, what price must it charge to achieve a profit of $2.5 million?
- An entrepreneur named Khadijah has total revenue shown by the equation TR = 150Q - 5Q² and total costs shown by the equation TC = 20 - 10Q. Determine the amount of output that must be produced by Khadijah to get the maximum profit and what is the maximum profit from that amount of output. Prove that the value obtained is the maximum!A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p= 75 -0.10 (D is the demand or quantity sold per month and p is the price in doilars). The fbxed cost is $1.000 per month and the variable cost is $30 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month? a. The maximum profit per month for this product is S (Round to the nearest dollar.) b. The range of profitable demand during a month is from units to units. (Round up the lower limit and down the upper limit to the nearest whole number.)A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit.
- ect of the utility commission's ruling on the profitability of the firm? 15 A company estimates that the demand for its product fluctuates with the price it charges. The demand function is q = 280,000 – 400p where q equals the number of units demanded and p equals the price in dollars. The total cost of producing q units of the product is estimated by the function C = 350,000 + 300q + 0.0015q? (a) Determine how many units q should be produçed in order to maximize annual profit. (b) What price should be charged? (c) What is the annual profit expected to equal? 16 Solve the previous exercise, using theA manufacturer of a new patented product has found that he can sell 70 units a week to the customer if the price is $48. In error, the price was recently advertised at $78 and as a result only 40 units were sold in a week. The manufacturers fixed costs of production are $ 1710 a week and variable costs are $9 per unit. You are required to Recommend a unit price which would maximise profit and to find the quantity demanded and profit generated at that price.Q)Vegemite has been recently introduced to the Chinese market. It sells for the equivalent of $2 per jar, and costs $0.50 per jar to make. The company’s fixed costs are $20,000. How many jars of vegemite need to be sold to break even?