Linear programming problem, Applied Statistics

Assignment Help:

Melissa Bakery is preparing for the coming thanksgiving festival. The bakery plans to bake and sell its favourite cookies; butter cookies, chocolate cookies and almond cookies. A kilogram of butter cookies requires three cups of flour, one cup each of special ingredient and choc chip. A cup of special ingredient is added to five cups of flour together with three cups of choc chic to bake a kilogram of chocolate cookies. For baking a kilogram of almond cookies; Melissa requires four cups of flour, a cup of special ingredient and two cups of choc chip. However, each day the bakery can only allocate at most 400 cups of flour, 100 cups of special ingredient and 210 cups of choc chip to bake the cookies. Melissa estimates a daily profit of RM10 for butter cookies, RM20 for chocolate cookies and RM15 for almond cookies. The bakery wishes to maximize the daily profit.

a. Formulate the given problem as a linear programming problem. 

b. The following is the final simplex tableau for the above problem:

2337_Linear programming problem.png

i. Set up the initial simplex tableau for the above problem             

ii. How many kilograms of each cookie should be baked?               

iii. Determine the value of m                                                           

iv. Identify any ingredient that is not fully utilized. State the amount unused.

v. How would the optimum solution change if the RHS value for the first resource increases by 10 units?


Related Discussions:- Linear programming problem

Calculate the line of best fit, The manager of Pizza Hut provides a deliver...

The manager of Pizza Hut provides a delivery service for customers who telephone in an order. The manager would like to give callers an idea of the time it will take to deliver an

Standard deviation for grouped data, Grouped data  For ...

Grouped data  For grouped data, the formula applied is  σ = Where f = frequency of the variable, μ= population mea

QUARTILE DEVIATION, Examples of grouped, simple and frequency distribution ...

Examples of grouped, simple and frequency distribution data

Ryan-joiner - normal probability plot, The Null Hypothesis - H0:  The rando...

The Null Hypothesis - H0:  The random errors will be normally distributed The Alternative Hypothesis - H1:  The random errors are not normally distributed Reject H0: when P-v

Create the venn diagram, Create the Venn diagram: A   - you work for a...

Create the Venn diagram: A   - you work for an insurance company.  80% of your company's staff is sales force and 70% of your company's sales is force is male. in your company

Find the probability that a lift will weigh, Lifts usually have signs indic...

Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads "maximum capacity 1400kg or 20 persons". Suppose that the weights of lift-users are

Corelation regrassion, the two regrassion line will pass through the point ...

the two regrassion line will pass through the point (x,y)

Production took place, Scenario: To fundraise for middle school camp the ye...

Scenario: To fundraise for middle school camp the year 3 and 4 syndicate designed and produced chocolate treats to sell to the year 1 and 2, and year 5 and 6 students at morning te

Systematic sampling, Systematic Sampling In Systematic Sampling ...

Systematic Sampling In Systematic Sampling each element has an equal chance of being selected, but each sample does not have the same chance of being selected. Here,

Probability theory, Origin and Development of probability Theory: The c...

Origin and Development of probability Theory: The credit for origin and development of probability goes to the European gamblers of 17 th century. They  used to gamble  on gam

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd