
Concept explainers
Explanation of Solution
Finding optimal solution for the problem:
In the problem, it is given that the James Breed bakes two types of cakes, cheesecakes and Black forest cakes. At most 65 cakes can be baked during any month. Also, it takes 50cents to hold cheesecake and 40cents to hold a black forest cake. The costs per cake and the demand for cakes which must be met on time are given.
The tableau is given below
Item | Month 1 | Month 2 | Month 3 | |||
Demand | Cost/cake(S) | Demand | Cost/Case(S) | Demand | Cost/Cake(S) | |
Cheesecake | 40 | 3.00 | 30 | 3.40 | 20 | 3.80 |
Black forest | 20 | 2.50 | 30 | 2.80 | 10 | 3.40 |
Let,
Thus the objective function is,
Minimize,
The problem is subjected to the constraints that during any month, he can bake at most 65 cakes.
Thus,
Also, it is given than the amount of cakes in the inventory is equal to the difference of cakes previously in the inventory plus the total production and the demand.
Thus, the constraints become,
In the above, all the variables are greater than 0.
Therefore, the LP can be formulated as,
Minimize,

Want to see the full answer?
Check out a sample textbook solution
Chapter 4 Solutions
Introduction to mathematical programming
- Could you help me to know features of the following concepts: - commercial CA - memory integrity - WMI filterarrow_forwardBriefly describe the issues involved in using ATM technology in Local Area Networksarrow_forwardFor this question you will perform two levels of quicksort on an array containing these numbers: 59 41 61 73 43 57 50 13 96 88 42 77 27 95 32 89 In the first blank, enter the array contents after the top level partition. In the second blank, enter the array contents after one more partition of the left-hand subarray resulting from the first partition. In the third blank, enter the array contents after one more partition of the right-hand subarray resulting from the first partition. Print the numbers with a single space between them. Use the algorithm we covered in class, in which the first element of the subarray is the partition value. Question 1 options: Blank # 1 Blank # 2 Blank # 3arrow_forward
- 1. Transform the E-R diagram into a set of relations. Country_of Agent ID Agent H Holds Is_Reponsible_for Consignment Number $ Value May Contain Consignment Transports Container Destination Ф R Goes Off Container Number Size Vessel Voyage Registry Vessel ID Voyage_ID Tonnagearrow_forwardI want to solve 13.2 using matlab please helparrow_forwarda) Show a possible trace of the OSPF algorithm for computing the routing table in Router 2 forthis network.b) Show the messages used by RIP to compute routing tables.arrow_forward
- using r language to answer question 4 Question 4: Obtain a 95% standard normal bootstrap confidence interval, a 95% basic bootstrap confidence interval, and a percentile confidence interval for the ρb12 in Question 3.arrow_forwardusing r language to answer question 4. Question 4: Obtain a 95% standard normal bootstrap confidence interval, a 95% basic bootstrap confidence interval, and a percentile confidence interval for the ρb12 in Question 3.arrow_forwardusing r languagearrow_forward
- using r languagearrow_forwardusing r language Obtain a bootstrap t confidence interval estimate for the correlation statistic in Example 8.2 (law data in bootstrap).arrow_forwardusing r language Compute a jackknife estimate of the bias and the standard error of the correlation statistic in Example 8.2.arrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
