Dorothy’s pastries are freshly baked and sold at several specialty shops throughout Perth. When they are a day old, they must be sold at reduced prices. Daily demand is distributed as follows. Demand Probability 50 0.25 150 0.50 180 0.25 Each pastry sells for $1.40 and costs $0.60 to make. Each one not sold at the end of the day can be sold the next day for $0.30 as day-old merchandise.Part 2How many pastries should be baked each day? enter your response here pastries. (Enter your response as an integer.)
In the bustling world of specialty pastry shops scattered throughout Perth, meeting the sweet-toothed desires of patrons is a daily endeavor. One key challenge faced by pastry shop owner Dorothy is to strike the perfect balance between baking the right quantity of fresh pastries each day and managing the financial implications of unsold items.
To address this challenge, Dorothy meticulously analyzes her daily demand, which is distributed across three probable scenarios: 50 pastries with a 25% likelihood, 150 pastries with a 50% likelihood, and 180 pastries with a 25% likelihood. Each pastry costs $0.60 to produce and sells for $1.40, but any unsold pastries can be sold the next day as day-old merchandise for $0.30. The goal is to determine how many pastries she should bake daily to maximize her profit.
To begin, we must consider the financial dynamics at play. The profit from each pastry sold on the same day is the selling price minus the production cost, resulting in $0.80. However, selling unsold pastries as day-old merchandise incurs a loss, with a day-old selling price of $0.30 and the same production cost of $0.60, leading to a loss of $0.30 per pastry.
With these financial metrics in mind, we can calculate the expected daily profit for different production quantities. If Dorothy bakes 50 pastries daily, she can expect an average profit of $6.25. On the other hand, baking 150 pastries daily yields the highest expected profit at $60, and lastly, baking 180 pastries daily results in an expected loss of -$13.50.
The ideal production quantity that maximizes profit is evidently 150 pastries. This choice takes into account the probabilities associated with varying demand levels and aligns with business objectives, ensuring that Dorothy meets anticipated demand and optimizes her financial returns.
In conclusion, in the world of specialty pastry shops in Perth, finding the right balance between production quantities and financial outcomes is vital for business success. By carefully analyzing demand probabilities and production costs, Dorothy can make informed decisions that not only meet customer expectations but also boost her bottom line. In her case, baking 150 pastries daily is the recipe for achieving maximum profitability.
As a renowned provider of the best writing services, we have selected unique features which we offer to our customers as their guarantees that will make your user experience stress-free.
Unlike other companies, our money-back guarantee ensures the safety of our customers' money. For whatever reason, the customer may request a refund; our support team assesses the ground on which the refund is requested and processes it instantly. However, our customers are lucky as they have the least chances to experience this as we are always prepared to serve you with the best.
Plagiarism is the worst academic offense that is highly punishable by all educational institutions. It's for this reason that Peachy Tutors does not condone any plagiarism. We use advanced plagiarism detection software that ensures there are no chances of similarity on your papers.
Sometimes your professor may be a little bit stubborn and needs some changes made on your paper, or you might need some customization done. All at your service, we will work on your revision till you are satisfied with the quality of work. All for Free!
We take our client's confidentiality as our highest priority; thus, we never share our client's information with third parties. Our company uses the standard encryption technology to store data and only uses trusted payment gateways.
Anytime you order your paper with us, be assured of the paper quality. Our tutors are highly skilled in researching and writing quality content that is relevant to the paper instructions and presented professionally. This makes us the best in the industry as our tutors can handle any type of paper despite its complexity.
Recent Comments