1) What should be the selling price per unit, if the break-even point should be brought down to 10,000 units? Variable Cost per unit £17 Fixed Expenses £34000 Selling Price per unit £25
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- You are currently in a job as a chef in a restaurant earning $100,000 per year. You are considering opening up a restaurant in a building which you currently own. You estimate that, if you wanted to, you could rent out your building for $25,000 per year to another restaurant. Last year, your revenues and expenses from the restaurant were the following: Revenues $400,000Cost of Food $120,000Salaries/Wages $100,000Utilities $25,000Taxes $20,000 What is your accounting profit? Show your calculations What is your economic profit? Show your calculations Assuming that you are indifferent between being a chef or owning a restaurant, should you open up your restaurant? Explain why. Now suppose that instead of owning the building where your restaurant will be located, you had to pay rent of $25,000 per year for the building. Will your answers to parts 1-3 change? Show your calculations. Explain how and why your answers will change or…Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 4,500 hamburgers on game night. WWhen the price was raised to $3.00, hamburger sales dropped off to an averag of 4,000 per night. The concessionaire's fixed costs were $7,405.30 per night and the variable cost was $0.54 per hamburger. Answer the following questions (A) through (F). (A) Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function. ..... (Simplify your answer.) The domain of p is (Type a compound inequality.) (B) Find the revenue function in terms of x and state its domain. R(x) = (Simplify your answer.) The domain of R(x) is (Type a compound inequality.) (C) Assume that the cost function is linear. Express the cost function in terms of x. C(x) = (Simplify your answer.) (D) Graph the cost function and the revenue function in the same coordinate system. Choose the correct graph below. O A.…After one month of operation, OU Café determined to shorten its business hours and close on weekends. What costs, fixed or variable, should OU Café have considered when it made the
- 1. Cowboy Metal Cutting produces a laser-cut part based on customer orders. The number of units requested on a customer's order for the laser-cut part can vary from 1 to 150. Cowboy has determined that three different cutting machines can be used to produce this part. An economic analysis of production costs has produced the data in the table below: Cutting Tool ID Fixed Cost Per Order Variable Cost Per Unit CT1 $300 $9.00 СТ $750 $3.00 CT3 $500 $5.00 a. Plot the total production cost of each tool against the number of units produced. For all order sizes between 1 and 150, determined the most economical cutting machine for an order of that size. b. For an order size 75, what is the minimum selling price of each unit if the company desires a profit of 15%?1. ThedemandfunctionforagoodisgivenbytheequationP=a−bQwhilethetotalcost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants. (a) Derive the equation for profit.(b) Derive an expression for the value of Q for which profit is maximised.The Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost perbarrel is $16. Price is related to demand according to the following linear equation.v -75,000 1,153.8pDevelop the nonlinear profit function for the brewery and determine the price that will max-imize profit, the optimal volume, and the maximum profit per year.
- 5. In multiproduct situations, when sales mix shifts toward the product with the highest contribution margin, then: Breakeven quantity will decrease. O Operating income will decrease. O Total contribution margin will decrease. O Total revenues will decrease.IceLess is an anti-icing solution sold in gallon plastic jugs. It is poured into the windshield washer bottle of your car. Wash your windshield and the solution prevents the glass from icing over for about four hours. Production incurs the following fixed and variable costs. It is priced initially at $5.50 per gallon. 1. Fixed costs (per year) Rent Utilities Managerial salaries Flammability permit Other fixed expense Total fixed $18000 13200 20000 12000 2400 $65600 Variable Costs per gallon Glycol FreezeFree 312 Mfg labor Packaging Inert ingredients Advertising Total $1.50 .50 .20 .20 .60 .30 $3.30 What is the annual breakeven production quantity (use above data, show work)? 2. What revenue would the sale of the breakeven quantity for $5.50 per gallon generate? 3. The production department says 29000 gallons is its maximum production capability. Management insists on earning $94400 above fixed costs. All costs are as given initially. What price must be charged per gallon if only 29000…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?
- (ii) Calculate total profit for this firm.based on the information in the table what is marla's profit margin? total revenue-$1,400total cost- $900average cost- $7fixed cost-$700quantity-200The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 X