of yeast, and 2 TS (tablespoons) of almond paste. An almond-filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 T
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- A croissant shop produces two products: bear claws (B) and almond-filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS (tablespoons) of almond paste. An almond-filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 TS of almond paste available for today's production run. The shop must produce at least 400 almond-filled croissants due to customer demand. Bear claw profits are 20 cents each, and almond-filled croissant profits are 30 cents each.
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- The production planner for Fine Coffees, Inc. produces two coffee blends: American (A) and British (B). He can only get 300 pounds of Colombian beans per week and 200 pounds of Dominican beans per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. The goal of Fine Coffees, Inc. is to maximize profits.What is the weekly profit when producing the optimal amounts?Rail 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 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…
- Seastrand Oil Company produces two grades of gasoline: regular and high octane. Both gasolines are produced by blending two types of crude oil. Although both types of crude oil contain the two important ingredients required to produce both gasolines, the percentage of important ingredients in each type of crude oil differs, as does the cost per gallon. The percentage of ingredients A and B in each type of crude oil and the cost per gallon are shown. Crude Oil Cost Ingredient A Ingredient B 1 $0.10 20% 60% 2 $0.15 50% 30% Each gallon of regular gasoline must contain at least 40% of ingredient A, whereas each gallon of high octane can contain at most 50% of ingredient B. Daily demand for regular and high-octane gasoline is 800,000 and 600,000 gallons, respectively. How many gallons of each type of crude oil should be used in the two gasolines to satisfy daily demand at a minimum cost? Round your answers to the nearest whole number. Round the answers for cost to the nearest…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 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.
- Solve all three as they are subparts. Hand written solutions are strictly prohibited.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…Management of AG Travel and Tour has identified two groups of individuals that would be interested in the vacation package consisting of room and board and/or entertainment. The maximum amount that group 1 is willing to pay for room and board is GHC 2500 and for entertainment is GHC 500. For group 2, the maximum amount they are willing to pay for room and board is GHC 1800 and for entertainment is GHC 750. Although AG Travel and Tour is not able to identify members of either group, it does know that each group values the components of the package differently. Assuming there are an equal number of members in each group and that the total membership in each group is a single individual. If the marginal cost of providing the service (room and board and/or entertainment) to each group is GHC 1000.i. How much will the hotel charge members of each group for the vacation package if it could identify the members in each group? ii. How much will the profit for AG Travel and Tour be? iii. Since…
- Management of AG Travel and Tour has identified two groups of individuals that would be interested in the vacation package consisting of room and board and/or entertainment. The maximum amount that group 1 is willing to pay for room and board is GHC 2500 and for entertainment is GHC 500. For group 2, the maximum amount they are willing to pay for room and board is GHC 1800 and for entertainment is GHC 750. Although AG Travel and Tour is not able to identify members of either group, it does know that each group values the components of the package differently. Assuming there are an equal number of members in each group and that the total membership in each group is a single individual. If the marginal cost of providing the service (room and board and/or entertainment) to each group is GHC 1000. What profit will AG Travel and Tour make if it charges the package pricefound in (v) above?You are the manager of World Wide Athlete, a chain of six sporting goods shops in your area. The shops sell 15 racing bikes per week at a retail price of $689.99. Recently, you put the bikes on sale at $599.99. At the sale price, 18 bikes were sold during the one week sale.Two power plants provide power to all of Manila: Mapayapa plant and Hagonoy plant. Both power plants burn coal to produce electricity, and consequently produce smog as a by-product. The M power plant could reduce its smog, but at a total cost: CM(XM) = 5X2M where XM indicates the total number of units of smog abated by M. The H plant is slightly less efficient, and its total cost for cutting down on smog by XH is: CH(XH) = 7X2H + 10XH Suppose that instead of taxation, the Manila government tries to regulate quantities. However, the city of Manila cannot write a law for each firm, so it simply declares that all power plants must cut down on smog by xC1 units each year. Explain why this is not efficient.