Function and constraints for the problem

Assignment Help Engineering Mathematics
Reference no: EM13962489

Every January Santa tidies his workshop.  Each toy in the workshop may be either stored for use next year, or taken apart and rebuilt next year, or thrown away and replaced next year.  Storing a toy costs £1 and uses 8 units of storage space.  Taking a toy apart and rebuilding it next year costs £3 and uses 2 units of storage space.  Throwing a toy away and replacing it next year costs £5 and uses 0 units of storage space.  Santa has 500 units of storage space available and wants to minimize the cost.

i) Identify the relevant variable for this problem.  Write an objective function and constraints for the problem in terms of these variables.  What other condition must these variables satisfy?  

ii) Given that Santa has a total of 100 toys in his workshop, show how the problem can be written as a linear program involving two variables.  Hence determine the solution to Santa's original problem and give the minimum cost.

Reference no: EM13962489

Questions Cloud

Identify the myths that are perpetuated by the media : Identify the myths that are perpetuated by the media, and then provide examples of these myths from your own experience
Find the electrostatic potential phi at all points in space : The two hemispherical pieces are electrically separated from each other but are left close together, so that the distance separating the two halves may be neglected. The upper half is maintained at Phi=Phi0 and the lower half is maintained at phi=..
Demand-side constraints : How many demand-side constraints are there? Write the demand-side constraints.
Average monthly demand-produce the same level of profit : Stacy evaluates sales data for the I’m-A-Little-Cooler mini-cooler company. She knows that average monthly demand = 6,000 coolers when they are priced at $16/cooler. Stacy estimated cost of goods sold for the product to be $6/cooler. If the price of ..
Function and constraints for the problem : Identify the relevant variable for this problem.  Write an objective function and constraints for the problem in terms of these variables.  What other condition must these variables satisfy?
What are the electric charges of the baryon and antibaryon : What are the electric charges of the baryon and antibaryon formed from the following combination of quarks and antiquarks?
Geographical reach : Describe how each of the functional areas is conducted at Ducati. Give one example of how IT can support each of these functional areas at Ducati. What did you find interesting? What company is the subject for your Business Report and what problem ca..
Difference between the abstract class and interface : 1. What is the difference between the Abstract Class and Interface.2. Write a java Program that counts number of words in each line of the file.

Reviews

Write a Review

Engineering Mathematics Questions & Answers

  Compute the test statistic for testing the hypotheses

Give the null and alternative hypotheses for testing the consumer advocate group's claim. Compute the test statistic for testing the hypotheses, part c. Find the rejection region of the test at a= .10.

  Determine a suitable test statistic

What is the approximate distribution of SN for large N - Determine a suitable test statistic T, the distribution of T, and the critical region for the test.

  Invertible differentiable function

Suppose f(x) is an invertible differentiable function and the graph  of f passes through the points (4, 2) and (2, 4). The slope of the tangent line to the graph of f at x = 2 is 5/8

  Determining the confidence intervals

The vast majority of the world uses a 95% confidence in building confidence intervals. Give your opinion on why 95% confidence is so commonplace. Justify your response.

  What is the optimal solution

Formulate an ILP problem to determine which sites should be selected so as to provide convenient service to all locations in the least costly manner. Implement your model in a spreadsheet and solve it. What is the optimal solution?

  Trace the effects of increasing the requirement

Use the pattern in (b) to trace the effects of increasing the requirement by 10 percent. How will the optimal mix change? How will the optimal cost change?

  1bsp consider the sinusoidal signalxt 8 sin6pit

1.nbsp consider the sinusoidal signalxt 8 sin6pit phi0.assume phi0 pi4 for this question andnbspphi0 0 for the

  What is the limiting distribution of the markov chain

Determine formulas for the t-step probabilities P(Xt = 0) and P(Xt = 1). What is the limiting distribution of the Markov chain?

  Descriptive stats for numeric variable

Analyze the data with MegaStat®, StatCrunch®, Microsoft® Excel®or other statistical tool(s), including: Descriptive stats for each numeric variable

  Standard deviation of the sampling distribution of sample

What are the shape, mean, and standard deviation of the sampling distribution of the sample proportion for samples of 500?

  What equation will generate number of tile for a height of n

What equation will generate the number of tiles for a height of n? Use the diagrams (you can expand them) and the table to show how you arrived at your equation.

  For the composite areas shown first determine the centroids

for the composite areas shown first determine the centroids and second determine the moment of inertia with respect to

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