mpany has established that the relationship between the sales price for one of its products and the quantity sold per month is roximately p = 78 -0.09D units. The fixed cost is $800 per month and the variable cost $33 per unit produced. What number of s, D*,should be produced per month and sold to maximize the profit per month related to the product? nd your answer to 2 decimal places.
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- 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 = 78 – 0.11D units. The fixed cost is $800 per month and the variable cost $32 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? Round your answer to 2 decimal places.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)…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…
- A company has determine the price and the monthly demand of its products are related by the equation D= √400-p where p is the price per unit in dollar and D is the monthly demand. The associated fixed costs are $1,125 per month and the variable costs are $100/unit. Use this information to answer the following: What is the optimal number of units that should be produced and sold each month? Determine the value of D that represents the break-even point?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 = 78 – 0.11D units. The fixed cost is $800 per month and the variable cost $34 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product?FCR and Average daily gain are measured in a continuous scale. true or false
- Given that the relationship between the sales price for one of a company’s products and the quantity sold per month is D = 500 – 5p units where D is the demand or quantity sold per month and p is the unit price in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit produced. (a) Determine the optimal number of units that should be produced and sold per month. (b) What is the maximum profit per month related to the product? (c) What is the company’s range of profitable demand? Support your answers graphically.A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?
- A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately D = 1560 – 20p units (D is the demand of quantity sold per month, and p is in dollars.) The fixed cost is $800 per month, and the variable cost is $30 per unit produced. The demand that maximizes the revenue is:Many times, the selling price of a product, p, is related to the demand, D, according to the relationship p=a-bD. However, a company has found that the price of their product can be related to demand ( in units per year) according to the following equation: p= $88.5 – (0.5)D0.5 . In addition, there is a fixed cost of $20,000 per year and the variable cost to manufacture the product is $20 per unit. a. What level of demand maximizes total revenue and the maximum revenue? b. What level of demand maximizes total profit for this product and the maximum profit?The time to assemble the first unit on a production line is 13 hours. The learning rate is 0.81. Approximately how long will it take for the eighth unit to be assembled? The number of hours needed for yhe eighth unit to be assembled is ? hours. (Round the one decimal place.)