A farmer has 1100 acres of land and plans to plant corn and soybeans. The input cost (cost of seed, fertilizer, herbicide, and insecticide) for 1acre for each crop is given in the table along with the cost of machinery and labor. The profit for 1 acre of each crop is given in the lastcolumn.Profit perAcre$120$100Suppose the farmer has budgeted a maximum of $180,000 for input costs and a maximum of $104,000 for labor and machinery.CornSoybeansPart: 0 / 3Part 1 of 3Input Cost Labor/MachineryCost per Acreper Acre$180$80$120$100(a) Determine the number of acres of each crop that the farmer should plant to maximize profit. (Assume that all crops will be sold.)The farmer should plantacres of corn andacres of soybeans.XO

Let,the farmer plans to plant to maximize the profit in total under given constrants.then as per…

Answered: A farmer has 1100 acres of land and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A peanut company sells a mixture of two types of beans. The cheapest mixture contains 80% lean peanuts and 20% pithy beans, while the most expensive bean contains 50% of each type. Every week the company can earn 1,800 kg of lean peanuts and 1,200 pithy peanuts. How many kg of each mixture must be made to maximize profit if the profit is Rp. 100 for each cheap mixture and Rp. 150 from the expensive mixture?a. Formulate the problem?b. Finish with a graphic method?
Kimberly works four days per week, Monday through Thursday. She rides the Metropolitan Transit System bus to and from work. The bus cost schedule is shown in the table below. If Kimberly has three weeks of vacation each year, what type of bus ticket should Kimberly buy to save the most money each year? Metropolitan Transit System Bus Pricing single ride: adult/youth: $2.25 senior/disabled/Medicare: $1.10 children 5 and under: free when accompanied by a paying adult 1-day pass: $5.00 2-day pass: $9.00 4-day pass: $15.00 14-day pass: $43.00 monthly pass: adult: $72.00 18 & under: $36.00 senior/disabled/Medicare: $18.00
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit? b) Generate the Sensitivity Report for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
A computer equipment manufacturer produces scanners and printers. The resources needed for producing these devices and the corresponding profits are; If there are $200,000 worth of capital and 5240 hr of labor available each day, how many of each device should be produced per day to maximize profit. Express answer to nearest integer.
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. Total Revenue No. of Apts 50 49 48 Rent $1,700 $ 85000 $1,750 $ 85750 $1,800 $ 86400 Need Help? ✓ Excellent job! (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? o revenue increases revenue decreases Read It ✓ Great job. ✓ Way to go! Nice work. (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +800x+8500 X (d) Find the rent she should charge to maximize her revenue. $2100 ✓per month
The new city water company that you have researched charges homeowners based on how much water they use in thousands of gallons. The company progressively charges at a higher rate the more water that is used. Cost of Water Bill (dollars) 240 230 220 210 190 180 170 160 110 Water Usage (in thousands of gallons) 11. Based on the graph above, how much does the city charge when a homeowner uses the following number of gallons of water: a) 1700 gallons of water b) 2000 gallons of water c) 7000 gallons of water 12. Finish filling in the following piece-wise equation below that describes the chart based on the graph 50 if 0 < x <2 5x+50 y = if 6≤x≤8 30x 140

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