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- Need complete solution. A company produces and sells a consumer product and thus far has been able to control the volume of the product by varying the selling price. The company is seeking to maximize its net profit. It has been concluded that the relationship between price and demand, per month, is approximately D = 500 - 5p, where p is the price per unit in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit. Obtain the answer mathematically to the following questions: a.What is the optimal number of units that should be produced and sold per month? b. What is the maximum profit per month? c.What are the breakeven sales quantities and the range of profitable demand volume?1-24 A couple of entrepreneurial business students at State University decided to put their education into practice by developing a tutoring company for business students. While private tutoring was offered, it was determined that group tutoring before tests in the large statistics classes would be most beneficial. The students rented a room close to campus for $300 for 3 hours. They developed handouts based on past tests, and these handouts (including color graphs) cost $5 each. The tutor was paid $25 per hour, for a total of $75 for each tutoring session. (a) If students are charged $20 to attend the session, how many students must enroll for the company to break even? (b) A somewhat smaller room is available for $200 for 3 hours. The company is considering this possibility. How would this affect the break-even point?Please don’t answer subpart A. Subparts D, E, F correspond to question 3 in the 1st photo
- Every year in September, the NFL (National Football League) announces official prices of their next Super bowl tickets. The official ticket prices for 2022 Super bowl ticket in the NFL official websites started from $6,800 per person and it was up to over $81,800 per person depending on the location of the seats from the field. However, about three fourth of all tickets were already distributed to the NFL teams. The other one fourth are distributed to the media, NFL partners and sponsors. As a result, a small fraction of a total of about 70,000 tickets were sold in the secondary market. Those tickets were available to buy and sell in the official NFL online sites and other ticket brokers. Given the limited supply of tickets available to the NFL fans to purchase, the actual prices are dominated by the wide fluctuation of demand caused by many factors such as the venue of the game, the winning teams for the championship match, the packages of tickets offered by the brokers, and the…solve with table methodRail Tours, Inc., sells packaged tours on rail lines, including gourmet meals and a reserved bed. The most popular tours are in the autumn, when foliage colors are at their peak. The overnight package for Saturday and Sunday morning are especially heavily booked. A market survey firm has just completed a study in which they conclude that if the package cost is $200 per couple, then Rail Tours can expect to sell 400 spaces on a typical Saturday. If the price is raised to $225, then unit sales will drop to 390. If the price is raised further to $250, unit sales drop to 380. a) From the data given, write down the demand equation and determine its intercepts. Are there any precautions needed when operating at the extreme ends of the demand curve?b) The survey firm also reports that if per capita income changes, Rail Tours can expect a large change in bookings. In particular, if per capita income falls by 1%, then bookings will tend to fall by about 2%. Are tour packages a normal good?…
- A company produces and sells a consumer product and thus far has been able to control the volume of the product by varying the selling price. The company is seeking to maximize its net profit. It has been concluded that the relationship between price and demand, per month, is approximately D = 500 - 5p, where p is the price per unit in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit. Obtain the answer mathematically to the following questions: a.What is the optimal number of units that should be produced and sold per month? b. What is the maximum profit per month? c. What are the breakeven sales quantities and the range of profitable demand volume?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)…Please show the step by step and complete solution. The answer must be ₱106,116.59
- A company that manufactures oximeters (devices that are placed on the fingers to measure the amount of oxygenation that a person is producing) has recently been stretched by high demand due to COVID-19. From that company, it is known that in the month of August 2020 a total of 10,000 oximeters were produced that qualified as conforming product, that the company was running a total of 25 days, Monday through Saturday, 9.5 hour shifts, of that time half an hour daily was for calibration and warm-up of the production machines and one hour daily was lunch for the workers. In addition, daily half-hour meetings are held to discuss the day's production. Because they are currently working under pressure due to high demand, there are no kanban waiting times. Determine the parts per hour of work that were produced during the month of August 2020.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…please show excel formulas, thank you