Mylab Operations Management With Pearson Etext -- Access Card -- For Operations Management: Sustainability And Supply Chain Management (13th Edition)
bartleby

Concept explainers

Question
Book Icon
Chapter B, Problem 10P

a)

Summary Introduction

To define: The objective function and constraints for the given information in linear programming.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

Objective function:

It is a linear function representing a cost, profit, or some other quantity. The motive of the objective function is to maximize or minimize a quantity taking the constraints into consideration.

Constraints:

The constraints are the limitation for a situation within which the process must operate. The constraints are the limits within which the available resources can be utilized so as to maximize or minimize a quantity.

b)

Summary Introduction

To determine: The optimal solution using linear programming.

Blurred answer
Students have asked these similar questions
1. Maribel is selling regular and special juices. To make a bottle of regularjuice, she needs 2 pounds of mango and 3 pounds of pineapple. On theother hand, 4 pounds of mango and 2 pounds of pineapple are needed tomake a bottle of special juice. A profit of P30 is made for a bottle of regularjuice and P40 for a bottle of special juice. Maribel is currently has 800pounds of mango and 480 pounds of pineapple. She wants to make at least180 bottles of special juice. How many bottles of each type of juice mustshe make to maximize her profit? How much will be her maximum profit? 2. A calculator company produces a scientific calculator and a graphingcalculator. Long-term projections indicate an expected demand of atleast 100 scientific and 80 graphing calculators each day. Because oflimitations on production capacity, no more than 200 scientificand 170 graphing calculators can be made daily. To satisfy a shippingcontract, a total of at least 200 calculators much be shipped each day. Ifeach…
Set up the objective function and the constraints, but do not solve.Chemical Products makes two insect repellents, Regular and Super. The chemical used for Regular is 15% DEET, and the chemical used for Super is 25% DEET. Each carton of repellent contains 24 ounces of the chemical. In order to justify starting production, the company must produce at least 14,000 cartons of insect repellent, and it must produce at least twice as many cartons of Regular as of Super. Labor costs are $9 per carton for Regular and $4 per carton for Super. How many cartons of each repellent should be produced to minimize labor costs if 70,680 ounces of DEET are available? (Let x represent the number of cartons of Regular, y the number of cartons of Super, and z the labor costs in dollars.)     z =       , subject to total production             ratio of carton type             amount of DEET                 x ≥ 0, y ≥ 0
Formulate an LP model for the following problems.1. Bernadette intends to invest up to ₱50,000 in either Best Fund, or a time deposit orboth. The Best Fund pays 8% per year and the time deposit pays 9%. Because theBest Fund is riskier than the time deposit, so she intends to put at most ₱30,000 intothe time deposit and at least ₱10,000 into the Best Fund. How much should she allotto each investment in order to maximize her returns?
Knowledge Booster
Background pattern image
Operations Management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,