Tyra will be setting up a stall during the school fair where she plansto sell cupcakes and donuts. She wanted to find out at what price she should selleach product to maximize her profit. She asked a market researcher to help her inthis task. It was determined that at her current production capacity, each donutcosts 22 pesos to make, while each cupcake costs 25 pesos to make. On the otherhand, the market research study estimates that if a donut is to be sold at pesosper piece, and a cupcake at y pesos per piece, then Tyra can expect to sell around(929 – 36x + 23y) donuts and around (1159 – 31y + 17x) cinnamon rolls per week.5.(a) How much should Tyra sell each piece of pastry if she wants to maximize herprofit? What is maximum profit and how many of each pastry should sheexpect to sell during the school fair? Supply all solutions and computations.(b) Since the school was celebrating its 50th founding year, Tyra decided to fix theprice of each cupcake to 50 pesos. At what price should she sell each donutso that she can still maximize her profit? What would be her maximum profitin this case?

Relative maximum A function f(x,y)f has a relative maximum at the point (a,b) if f(x,y)≤f(a,b)…

Answered: Tyra will be setting up a stall during…

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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Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u₁, U₂, U3, U4, and us. Then verify your so terms of u₁, U2, U3, U4, and u5.) v = (5, 2, U₁ = (1, 2, U₂ = (1, 2, 0, 2, 1) U3 = (0, 1, 1, 1, -4) U4 = (2, 1, 1, 2, 1) us= (0, 2, 2, -1, -1) 12, 13, 6) 3, 4, -1)
When a company offers a new product or service, they estimate how much of that product or service people will want at different prices. This is referred to as the product or service demand . As the price of a product or service increases, the demand usually decreases, and this drives the price down. Companies use the estimated demand to determine how much of a product or service they are willing to supply at different prices. As the price of a product or service increases, companies are willing to supply more of it because they will earn more money. If you graph the demand and the supply curves on the same xy-plane, they will sometimes intersect at the point where the price and the supply are in equilibrium. Consider the scenario below. Yaseen is a local artist who wants to increase the amount of money she earns every month by selling at-home painting kits. These kits will include a photograph of the finished painting, a link and password to Yaseen’s YouTube channel where she will…
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A factory ships weekly shipments of an item to a distribution center and the average quantity shipped is 350 units. The weekly ordering rate for this distribution center is 50 units for an item. Unit price is $ 650. The period of supply from the factory to the distribution center is two weeks (2 weeks). The distribution center must pay for the stock from the moment the manufacturer ships the goods. If the distribution center wants to increase the purchase quantity to 400 units, the factory will give priority to the distribution center and guarantee it Supply period (one week only). Required: What is the effect on the average cycle inventory and the pipeline inventory of the distribution center? With the necessity to comment on the results.
Until now, debit card fees have been 44 cents a transaction, on average. The Federal Reserve in June agreed to cut the fees to a maximum of about 24 cents. While the fee amounts to pennies per swipe, it rapidly adds up across millions of transactions. The new limit is expected to cost the banks about $6.6 billion in revenue a year. What percentage of a $10 debit card transaction does a merchant have to pay to the bank that issued the card? How will that percentage change when the new rule takes effect?
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A financial manager has to invest $ 200000 in two options, one risky with a return of 20% and second less risky with a return of 10% per year. If the goal is to make $ 32000 at the end of the year what should be distribution of the money in both options.
What is Jenny’s contribution margin per haircut? Jenny’s Cutting Station offers a new concept in haircuts; low cost and very quick. Set in a local mall, Jenny’s offers 15-minute haircuts for harried shoppers who do not have time for lengthy appointments. To ensure that the clients are in and out quickly, she schedules her 5 employees based on expected client traffic. Each of the employees is paid $1200 per month, with part of their pay coming from client tips. Jenny pays rent and overhead costs of $2000 per month on the facility. Because of the quick nature of the service, Jenny doesn’t have time to clean combs in between clients, so she uses a new comb for each customer, at a cost of $0.55 each. She also provides shampoo and conditioner for each client at a cost of $0.95 per client. The average price for a haircut is $12. Jenny pays herself $5000 per month.
How should be the process to follow on this question, please? You buy 2,300 pens at the beginning of the school year. You estimate that 20% of them will have to be put on your "discount plate" at the end of the term on which everything is priced at $1. Generally, about 32% of the "discount plate" items will be damaged or broken and will have to be thrown away. The pens cost you $1.27 per pen and you want an average markup of 37% based on selling price. At what price must they start selling the pens?
Tabitha manufactures a product that sells very well. The capacity of her facility is 207,000 units per year. The fixed costs are $157,000 per year and the variable costs are $14 per unit. The product currently sells for $16. a. What total revenue is required for a net income of $482,000 per year? Round to the nearest cent b. If sales were at 55% of the capacity and the variable costs decreased by 25%, what would be the net income per year? Round to the nearest cent

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