Miko's Bakery is a pie shop that specializes in custard and fruit pies. It makes delicious pies and sells them at reasonable prices so that it can sell all the pies it makes in a day. Every dozen custard pies net Miko's $15 and requires 12 pounds of flour, 50 eggs, 5 pounds of sugar, and no fruit mixture. Every dozen fruit pies nets a $25 profit and uses 10 pounds of flour, 40 eggs, 10 pounds of sugar, and 15 pounds of fruit mixture. On a given day, Miko's found that they had 150 pounds of flour, 500 eggs, 90 pounds of sugar, and 120 pounds of fruit mixture available. Formulate and solve a linear program that will give the optimal production mix for this day at Miko's.
a) What is the pie mix and the optimal profit?
b) If Miko's could double its profit on custard pies, should more custard pies be produced? Explain.
c) If Miko's raised the price on Fruit pies by $0.25 per pie and hence the profit, would the optimal production schedule change? Would profit change?
d) Suppose Miko's found that 10% of its fruit mixture had been stored in containers that were not air-tight. For quality and health reasons, he decided to not use any of this portion of the mixture. How would this affect the optimal production schedule? Explain.
e) What is binding under the current production schedule?
f) How much would profit increase for each additional egg acquired and how much would it go down for each additional egg lost? What range would this apply to (range of feasibility)?
g) Miko's has in the past made a third type of pie, a chocolate pie. Given the current prices of ingredients, Miko's estimates that it would net a profit of $27 per dozen chocolate pies. Each dozen chocolate pies requires 15 pounds of flour, 30 eggs, 12 pounds of sugar and no fruit mixture. Reformulate and resolve the model with this new information. Would it be profitable to make any chocolate pies? Analyze the reduced cost for chocolate pies to explain why we are not making any.
Miko's Bakery is a pie shop that specializes in custard and fruit pies. It makes delicious pies a...
Miko's Bakery is a pie shop that specializes in custard and fruit pies. It makes delicious pies and sells them at reasonable prices so that it can sell all the pies it makes in a day. Every dozen custard pies net Miko's $15 and requires 12 pounds of flour, 50 eggs, 5 pounds of sugar, and no fruit mixture. Every dozen fruit pies nets a $25 profit and uses 10 pounds of flour, 40 eggs, 10 pounds of sugar, and...
A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of June, they produce blueberry and peach pies. The blueberry pies are sold to the grocer for $10.00 and the peach pies are sold for $9.00. The couple is able to sell all of the pies owing to their high quality. They use fresh ingredients. Sugar and flour are bought once a month. The price of sugar per pound...
Simple as Pie Break-Even Analysis Rob and Joan Russell started baking pies from their home eight years ago. Their business idea was simple: There were no top-quality pies sold commercially in their mid-sized New England town. They produced no plan, no budget, and gave no thought to how much capital this venture would require. Their pies were indeed great and with little effort they built a customer base of individuals and restaurants that wanted the best and were willing to...
Exercise 2 Linear Programming 1. The Scrod Manufacturing Co. produces two key items – special-purpose Widgets (W) and more generally useful Frami (F). Management wishes to determine that mix of W & F which will maximize total Profits (P). Data W F Unit profit contributions $ 30 $ 20 Demand estimates (unit/week) 250 500 Average processing rates – each product requires processing on both machines (units/hour) Machine #1 2 4 Machine #2 ...
The Sydney Morning Therald Coca-Cola Amatil to close South Australia plant, cut 180 jobs Patrick Hatch Published: February 22, 2017 10:43AMM Coca-Cola Amatil will close its manufacturing plant in South Australia, cutting about 180 jobs, and shift the work to Queensland as part of a $90 million supply chain restructure. As part of its profit announcement on Wednesday, the beverage giant said it had reviewed its operations across Australia and concluded it should increase production in Queensland and Western Australia...
Canada Snowcones Ltd. (CSL) owned and operated 20 retail frozen
yogurt stores spread throughout Southern Ontario, from Toronto to
Windsor. CSL's stores sold only high quality, premium frozen
yogurt. They offered an assortment of 35 different frozen yogurt
flavours. A significant amount of the CSL flavours were special,
such as "Peanut Butter Bacon", "Charcoal-Sushi", and "Tropical
Cheese Sensations". However, CSL also sold a few of the classic
frozen yogurt flavours, such as vanilla, milk chocolate, mint, and
other singular fruit...
Instructions
In order to complete your case
analysis successfully, you must
identify the role you are playing,
assess user needs
analyze user needs or issues (qualitatively and
quantitatively), and
provide a recommendation and conclusion.
An average grade will result
from answering all questions with basic coverage and accuracy,
showing all your work. Additional points come from including
greater detail, astute, informed commentary where appropriate and
connections to readings and other content.
Case: Cost System
Considerations for CANADA SNOWCONES LTD.
Canada...
Case: Cost System Considerations for CANADA SNOWCONES
LTD.
Canada Snowcones Ltd. (CSL) owned and operated 20 retail frozen
yogurt stores spread throughout Southern Ontario, from Toronto to
Windsor. CSL's stores sold only high quality, premium frozen
yogurt. They offered an assortment of 35 different frozen yogurt
flavours. A significant amount of the CSL flavours were special,
such as "Peanut Butter Bacon", "Charcoal-Sushi", and "Tropical
Cheese Sensations". However, CSL also sold a few of the classic
frozen yogurt flavours, such as...
In order to complete your case analysis successfully, you
must
identify the role you are playing,
assess user needs
analyze user needs or issues (qualitatively and
quantitatively), and
provide a recommendation and conclusion.
An average grade will result from answering all questions with
basic coverage and accuracy, showing all your work. Additional
points come from including greater detail, astute, informed
commentary where appropriate and connections to readings and other
content.
Case: Cost System Considerations for CANADA SNOWCONES
LTD.
Canada Snowcones...
Case: Cost System
Considerations for CANADA SNOWCONES LTD.
Canada Snowcones Ltd. (CSL)
owned and operated 20 retail frozen yogurt stores spread throughout
Southern Ontario, from Toronto to Windsor. CSL's stores sold only
high quality, premium frozen yogurt. They offered an assortment of
35 different frozen yogurt flavours. A significant amount of the
CSL flavours were special, such as "Peanut Butter Bacon",
"Charcoal-Sushi", and "Tropical Cheese Sensations". However, CSL
also sold a few of the classic frozen yogurt flavours, such as...