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.The growth rate of the demand for coal in the world is 6 % per year. In what year will the demand be double that of 1997 ? Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.A company produces an electronic timing switch that is used in consumer and commercial products. The fixed cost is $70,000 per month and the variable cost is $80 per unit. If the selling price per unit is p = $170 − 0.01(D), calculate the following: a) The optimal volume for this product (Demand)? b) The value of selling price per unit at the optimal volume calculated in part a for this product ?
- A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MU, while for the international market it is 15 MU.The company has the capacity to produce up to 10 tons of strawberries for sale and according to SAG restrictions, it must dedicate at least 10% of production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.d) There is the option of buying new machinery to increase the production capacity of the company. In what range should the new machine increase production capacity to suit the company? How…Philippine Population 110M Urban Population 51.2% of PH Multi-unit Residential Population11.9% of Urban Population If usage is 2 bottles per day and each bottle is Php12.00… What is the market size (value) per quarter for bottled water for the urban population? What is the market size (units) per quarter for those living in multi-unit residential areas?Worldwide annual sales of a device in 2012–2013 were approximately q = −6p + 3,040 million units at a selling price of $p per unit. Assume a manufacturing cost of $40 per unit. [HINT: Recall that Profit = Revenue − Cost.] Find the function P for annual profit, in millions of dollars and in terms of p only, subject to any constraints. P(p) = ____ Find P′(p). P′(p) = ____ What selling price (in dollars) would have resulted in the largest annual profit? (Round your answer to two decimal places.) p = $____ What would have been the resulting annual profit (in millions of dollars)? (Round your answer to the nearest whole number.) $ ____ million
- A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MUs, while for the international market it is 15 MUs.The company has the capacity to produce up to 10 tons of strawberries for sale and, according to SAG restrictions, it must dedicate at least 10% of its production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.a) Raise the NLP model that allows maximizing the net profit for the companyb) State the KKT conditions for the problem and indicate whether they are necessary and / or sufficient.c)…suppose an industry consists of 10 identical firms with no fixed cost and marginal cost equal to MCi = 2qi (e.g., the marginal cost of the 20th unit is $40, the marginal cost of the 200th unit is $400, etc.). Further, suppose that the market demand in the industry is P = 840 - .5Q, where Q = ∑qi is the aggregate quantity from all 10 identical firms. Finally, ignore the possibility of new entrants beyond the 10 current firms. Maintaining the same assumptions as in the prior question, suppose now that the 10 firms collude and set quantity to maximize industry profits. Assuming that the 10 firms each produce an equal amount, how much will each firm produce this collusive equilibrium? Give typed answer correctly with proper explanation ASAPMaha industries produces a product whose anticipated demand for the six periods is 263,256,301, , and the firm has adopted level production strategy with a constant production of 280 units per period. The regular production cost is RO 12 per unit, whereas the overtime and subcontract costs are RO 20 and RO 25 per unit respectively. There is no limit on subcontracting however, maximum overtime production capacity is 10. Average Inventory holding cost RO 5 per unit per period. What will be inventory level at the end of period 3?
- The demand for electricity in the Lake Woebegon region is Qd(p) = 100−10p. Quantity is measured in GWh per year and price in monetary units (MU) per GWh. The consumer price of electricity consists of the price of electricity, which can be bought in the competitive electricity market at 2 MU/GWh, and the transmission price. The transmission of electricity from sellers to buyers is provided by the PowerGrid Corporation. The annualized cost of maintaining a power grid with a transmission capacity of k GWh is c(k) = 30 + k MU. What is the transmission capacity, consumer price of electricity, yearly consumer surplus, PowerGrid’s profit, and total surplus, in each of the following cases? (a) PowerGrid Corp sets the price of transmission to maximize profits. (b) PowerGrid Corp sets the price of transmission to maximize total welfare, subject to the constraint that it cannot make a loss. (c) The fixed costs of maintaining transmission capacity increase a little bit. What kind of impact does…ABC Corporation manufactures a certain product that sells for P5,000 each. The company’s maximum production capacity is 360 units per year. At present it is able to produce and sell 280 units a year. The cost to manufacture each product is P2,400 and the fixed operating cost per year is P520,000.1. What is the break – even sales volume of the product per year?2. What is the profit per year based on the present production – sales status?3. What is the loss if only 150 units were produced and sold in a year?A company makes a product with a selling price of $20 per unit and variable costs of $ 8 per unit. The fixed costs for the period are $30762. What is the required output level to make a target profit of $15,000?