3. The unit cost in peso to produce a chemically formulated product is $13 and the fixed cost is $370. The price-demand function in dollars per unit is p=70-2D. Determine the following: Determine the optimal demand of this product and confirm that profit occurs at this demand.
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- The unit cost in peso to produce a chemically formulated product is $13 and the fixed cost is $370. The price-demand function in dollars per unit is p=70-2D. Determine the following; a. Determine the optimal demand of this product and confirm that profit occurs at this demand. b. What is the demand that will give maximum revenue of this product and how much is the total revenue? C. Find the demand at which breakeven occurs and the range of profitability.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. A small company manufactures a certain product. Variable cost are $20 per unit and fixed cost are $10,875. The price-demand relationship of this product is P = -0.25D + 2550, where P is the unit sales price of the product and D is the annual demand. Find the Total Cost, Total Revenue and Profit.
- US Auto Company would like to offer rebates to its customers in order to increase sales. If it lowers prices sales will increase. This will depend on the price elasticity of demand. Assume that the price elasticity of demand is 1.5. This firm is considering a $400 rebate on its cars. Also assume the following information on prices and costs before the rebates: Average price per car $9,000 per car Expected sales volume at $9,000) per car 1,000,000 cars Average total costs per car $8,200 per car Total variable cost $6,400,000,000 Calculate the present total fixed costs, average variable costs and average fixed costs. What is the present breakeven point? What is the change in revenue resulting from the $400 price reduction? What is the effect on the cost per car after the change? In other words what is the average cost per…A drywall company in Alberta manufactures dry-wall panels for modular construction companies. Variable costs are $20 per unit and fixed costs are $10,875. the price-demand relationship for the panels is: P = -0.25D + 250 where P is the unit sales price of the drywall panels and D is the annual demand. Knowing that Revenue = Demand X Price Profit = Revenue – Total Cost What profit would the company obtain by maximizing its total revenue if the total -0.25x^2+$250x? Select one: a. $550 b. $650 c. None d. $500= 2. The cost of operating a jet-powered commercial (passenger- carrying) airplane varies as the three-halves (3/2) power of its velocity; specifically, Co kny3/2, where n is the trip length in miles, k is a constant of proportionality, and vis velocity in miles per hour. It is known that at 400 miles per hour, the average cost of operation is $300 per mile. The company that owns the aircraft wants to minimize the cost of operation, but that cost must be balanced against the cost of the passengers' time (CC), which has been set at $300,000 per hour. At what velocity should the trip be planned to minimize the total cost, which is the sum of the cost of operating the airplane and the cost of passengers' time?
- A company produces and sells a consumer product and is ableto control the demand by varying the selling price. The approximate relationship between price and demand is p = 38+ (2,700/D) - (5000/D²) for D>1 The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. What is the number of units that should be produced and sold each month to maximize profit? A 71 B 60 с 50 D 25A large wood products company is negotiating a contract to sell plywood overseas. The fixed cost that can be allocated to the production of the plywood is $84309 per month. The variable cost per thousand board feet is $220.0 for demand 2176 units. The price charged will be determined by P-$739-0.07D per 1000 board feet. For this situation, calculate the profit for the mentioned scenario. Select one: a. 1045034.93 O b. 713586.68 C. 3498584082.68 d. 1213500.68The economic order quantity of Inc. is 1,000 unit. They sold their sole product for a selling price of P5. It takes P20,000 a year for Inc. in ordering 1,000 units per transaction. Carrying cost is P4 per unit per year. The lead time for this product is one week. How much sales revenue should Inc. have for this economic order quantity to be plausible? (Use 360 days a year)
- The order cost per order of an inventory is P400 with an annual carrying cost of P10 per unit. What is the Economic order quantity for an annual demand of 2,000 units?Michael’s Lobster Food Truck has been operating for three years, but he’s yet to make a profit in the competitive food truck industry. Last year, he sold 2,500 items at an average price of $12. It costs him $9 to cover his ingredients for each item, and he also has fixed costs of $8,000 per year to cover for his truck, marketing, insurance, etc. What percentage increase in the number of units sold is required for Michael to break even?If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15 −x 125, its production cost per unit is US$5.00 and its fixed cost are the same as for company A . (i) Derive the total revenue function, R(x) for company A. (ii) Derive the total cost function, C(x) for company A. (iii) Derive the profit function, Π(x) for company A. (iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company A in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.(v) Graph the functions from (d) above on the same axes. (vi) From your graph, determine the break-even level of output for company A. (vii) Derive the total revenue function, R(x) for company B. (viii) Derive the profit…