Formulate an optimization model for the problem

Reference no: EM13189520

Holiday Fruit Company buys oranges and processes them into gift fruit baskets and fresh juice. The company grades the fruit it buys on a scale from 1 (lowest quality) to 5(highest quality). The following table summarizes Holiday 's current inventory of fruit.
Grade Supply(1000s of lbs)
1 90
2 225
3 300
4 100
5 75
Each pound of oranges devoted to fresh juice results in a marginal profit of $2.50, whereas each pound devoted to fresh juice results in a marginal profit of $1.75. Holiday wants the fruit in its baskets to have an average quality grade of at least 3.75 and its fresh juice to have a average quality grade of at least 2.50.
a. formulate an optimization model for this problem.
b. Implement your model in a spreadsheet and solve it .
c. what is the optimal solution.

Reference no: EM13189520

Questions Cloud

Find first four terms in each of two linearly independent : Find the first four terms in each of two linearly independent solutions of the given differential equation (solve by means of a power series about the given point x0 ).

What are the initial conditions : Given that S_n denotes the number of n-bit strings that do not contain the pattern 00, what are the initial conditions?

Geometric efficiency : A Geiger-Muller well detector has a dead time of .25 ms, a geometric efficiency of 93%, and an internal eficiency of 89%. With no sample in the detector, it registers 232 counts in 1 minute. If sample self-absorption, backscatter, window absortion, e..

What is the contribution margin ratio for bryan company? : If the contribution margin ratio for Carnegie Company is 32%, sales were $900,000, and fixed costs were $210,000, what was the income from operations?

Formulate an optimization model for the problem : Holiday Fruit Company buys oranges and processes them into gift fruit baskets and fresh juice. The company grades the fruit it buys on a scale from 1 (lowest quality) to 5(highest quality). The following table summarizes Holiday 's current invento..

Webster-hayne debate : Summarize the major points of each participant in the Webster-Hayne debate. Explain why the text’s authors can claim that Webster “probably did more than any other person to arouse the incoming generation of Northerners to fight for the ideal of the ..

Discuss how the economic crisis of 2008 impacted the finding : Discuss how the economic crisis of 2008 impacted the findings in the 2009 Crime Report. Given the significant increase in mortgage fraud, discuss ways this can be deterred in the future.What financial areas do you will think will emerge with signif..

Definition of a constituent : Which of the following is the best definition of a constituent?

Write mass balance equations for the remaining reactors : Write mass balance equations for the remaining 4 reactors. Put the known values in the 5 equations and convert each equation into a form where left hand side contains all the variables and the right hand side the constant term.

User Account

All Pages