Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. a company needs to purchase several new machines t

A company needs to purchase several new machines to meet its future production needs. It can...

80.2K

Verified Solution

Question

Advance Math

A company needs to purchase several new machines to meet itsfuture production needs. It can purchase three different types ofmachines A,B,andC. Each machine A costs $80,000 and requires 2,000square feet of floor space. Each machine B costs$50,000 andrequires 3,000 square feet of floor space. Each machine C costs$40,000 and requires 5,000 square feet of floor space. The machinescan produce 200, 250 and 350 units per day respectively. The plantcan only afford $500,000 for all the machines and has at most20,000 square feet of room for the machines. The company wants tobuy as many machines as possible to maximize daily production.

Let                      Xi= number of machines to be purchased

MAX:                        200X1+250X2+300X3

Subjectto:           2X1+3X2+5X3?20

80X1+50X2+40X3?500

X1,X2,X3?0

A

B

C

D

E

F

1

CapitalExpansion

2

3

MachineTypes

4

Machine1

Machine2

Machine3

5

Numbertobuy

TotalOutput:

6

Machineoutput

7

8

Requirements:

Used

Available

9

Squarefeet

10

Cost

How many of each machine should theypurchase?

Answer & Explanation Solved by verified expert
4.3 Ratings (725 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

1) Find the maximum and minimum values of the function y = 13x3 + 13x2 ? 13x...

Basic Math
Q

what happens to most of the CO2 after they are released into the interstitial fluid. what...

Medical Sciences
Q

Define “Noise Factor”. In an RF receiver system with cascaded amplifiers, where should most of the RF...

Electrical Engineering
Q

Changes brought about by the agricultural revolution included O the possibility of a food surplus...

Biology
Q

Study the following list trade financial markets telecommunications All the items in the list are...

Biology
Q

Use an inverse matrix to solve each system of linear equations a x 2x2 x3...

Basic Math
Q

Consider the following equation of an ellipse.9x + 49y +90x+ 392y + 568 = 0Step...

Basic Math
Q

Question Consider the curve f y y for 1 y 4 Find the arc length...

Calculus
Q

Cherry Co. enters into a long-term fixed price contract to build a warehouse...

Accounting
Q

Which of the following "statements"...

Accounting
Q

MERCHANDISING ACOUNTING Company 1. The company applies the perpetual inventory system. July1 Joe and Paul...

Accounting
Q

Exercise 20-17 (Algo) Preparation of cash budgets (for three periods) LO P2 Kayak Company budgeted...

Accounting