The way to minimize the sum of penalty and shipping cost. Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Question

A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below.Rock type-------Cost-------% gypsum-------Amount Available1-------------------$1.00-----------2.0%-----------5002-------------------$5.00-----------5.0%-----------6003-------------------$5.50-----------4.5%-----------7004-------------------$2.00-----------3.0%-----------4005-------------------$1.20-----------6.0%-----------450 Order No.--------------------1----------2----------3---------4Order Size------------------500------600------500------350Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6%Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8%What is the cheapest way to fill the orders?

Answer 1

Question

Chapter 5, Problem 67P

a)

Summary Introduction

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

b)

Summary Introduction

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

c)

Summary Introduction

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below.Rock type-------Cost-------% gypsum-------Amount Available1-------------------$1.00-----------2.0%-----------5002-------------------$5.00-----------5.0%-----------6003-------------------$5.50-----------4.5%-----------7004-------------------$2.00-----------3.0%-----------4005-------------------$1.20-----------6.0%-----------450 Order No.--------------------1----------2----------3---------4Order Size------------------500------600------500------350Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6%Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8%What is the cheapest way to fill the orders?

The Fly-Right Airplane Company builds small jet airplanes to sell to corporations for use by their executives. To meet the needs of these executives, the company's customers sometimes order a custom design of the airplanes being purchased. When this occurs, a substantial start-up cost is incurred to initiate the production of these airplanes. Fly-Right has recently received purchase requests from three customers with short deadlines. However, because the company's production facilities already are almost completely tied up filling previous orders, it will not be able to accept all three orders. Therefore, a decision now needs to be made on the number of airplanes the company will agree to produce (if any) for each of the three customers. The relevant data are given in the next table. The first row gives the start-up cost required to initiate the production of the airplanes for each customer. Once production is under way. the marginal net revenue (which is the purchase price minus the…

Create spreadsheets and use Solver to determine the correct volumes to be produced to minimize cost for the following problem. Your company has two trucks that it wishes to use on a specific contract. One is a new truck the company is making payments on, and one is an old truck that is fully paid for. The new truck’s costs per mile are as follows: 54₵ (fuel/additives), 24₵ (truck payments), 36₵ (driver), 12₵ (repairs), and 1₵ (misc.). The old truck’s costs are 60₵ (fuel/additives), 0₵ (truck payments), 32₵ (rookie driver), 24₵ (repairs), and 1₵ (misc.). The company knows that truck breakdowns lose customers, so it has capped estimated repair costs at $14,000. The total distance involved is 90,000 miles (to be divided between the two trucks).

Answer 2

Question

Chapter 5, Problem 67P

a)

Summary Introduction

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

b)

Summary Introduction

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

c)

Summary Introduction

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Answer 3

Question

Chapter 5, Problem 67P

a)

Summary Introduction

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

b)

Summary Introduction

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

c)

Summary Introduction

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Answer 4

Question

Chapter 5, Problem 67P

a)

Summary Introduction

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

b)

Summary Introduction

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

c)

Summary Introduction

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Answer 5

Chapter 5, Problem 67P

a)

Summary Introduction

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

b)

Summary Introduction

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

c)

Summary Introduction

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Answer 6

Chapter 5, Problem 67P

a)

Summary Introduction

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Answer 7

Chapter 5, Problem 67P

a)

Summary Introduction

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Answer 8

b)

Summary Introduction

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Answer 9

b)

Summary Introduction

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Answer 10

c)

Summary Introduction

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Answer 11

c)

Summary Introduction

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Answer 15

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Answer 16

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Answer 17

Trending nowThis is a popular solution!

Answer 18

Trending nowThis is a popular solution!

Answer 19

Trending nowThis is a popular solution!

Answer 20

Trending now

Answer 21

This is a popular solution!

Answer 22

See solution

Check out sample textbook solution

Answer 23

Ch. 5.2 - Prob. 1P Ch. 5.2 - Prob. 2P Ch. 5.2 - Prob. 3P Ch. 5.2 - Prob. 4P Ch. 5.2 - Prob. 5P Ch. 5.2 - Prob. 6P Ch. 5.2 - Prob. 7P Ch. 5.2 - Prob. 8P Ch. 5.2 - Prob. 9P Ch. 5.3 - Prob. 10P

The way to minimize the sum of penalty and shipping cost. Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Solution Summary: The author explains that in linear programming, unbounded solution occurs when the objective function is infinite. If no solution satisfied the constraints, it is said to be unfeasible.

Concept explainers

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Chapter 5 Solutions

The way to minimize the sum of penalty and shipping cost. Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Solution Summary: The author explains that in linear programming, unbounded solution occurs when the objective function is infinite. If no solution satisfied the constraints, it is said to be unfeasible.

Concept explainers

To determine: The way to minimize the sum of penalty and shipping cost. Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

To determine: The way the change in penalty cost affect the optimal cost. Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

To determine: The way the change in warehouse capacity affect the optimal cost. Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

Chapter 5 Solutions

To determine: The way to minimize the sum of penalty and shipping cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

To determine: The way the change in penalty cost affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.

To determine: The way the change in warehouse capacity affect the optimal cost.

Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.