Formulate a linear program

Assignment Help Mathematics

Reference no: EM13189624

Bamm Mining Company is currently extracting rock from two mines. Once it is taken from the ground and loaded on a truck, it is sent to one of two plants for processing. The processed rosk is then shipped to one of three builder's supply stores, where it is sold for landscaping purposes. The cost of transportation, the supply available at the mine, and the processing capacity of each plant are given in the following table:

Cost per ton for shipping
from mine to processing plant
#1 #2 Daily Supply
A $6 $8 320 tons
B $7 $10 450 tons
Processing capacity 500 tons 500 tons

The cost of shipping from each processing plant to each store and the daily demand are as follows:
To
From Plant Builders' Homeowner's Hardware
Home HQ City
#1 $13 $17 $20
#2 $19 $22 $21
Daily Demand 200 240 330

a) formulate a linear program that can be used to determine how to meet the demand fo the three stores at the least cost.

b) solve th by computer. How many tons should be shipped from each mine to each plant? How many tons should go from each plant to each store?

Reference no: EM13189624

Questions Cloud

How far will an automobile travel in 6 hours : The distance in miles an automobile travels is given by the formula D = rt, where r is the rate in miles per hour and t is the time in hours. How far will an automobile travel in 6 hours at a rate of 55 miles per hour?

Prepare calculator application - mock objects for testing : Which other classes do you think will need to be stubbed with mock objects for testing the application? For each class you identify explain why you think that class needs mocking and at least three dierent mocked behaviours you will need.

What is the equilibrium price of lattes : Suppose that, on and near the U.C. Sunnydale campus, the weekly supply curve for lattes is given by the equation Q = max(1000 P - 2000, 0) : nobody makes any lattes unless the price is above $2/latte, and for each $1 the price is above $2 an extra..

Use the dual simplex method to solve the following lp : Use the dual simplex method to solve the following LP:

Formulate a linear program : Bamm Mining Company is currently extracting rock from two mines. Once it is taken from the ground and loaded on a truck, it is sent to one of two plants for processing.

What was the number of equivalent units of production : If Department H had 600 units, 60% completed, in process at the beginning of the period, 8,000 units were completed during the period, and 500 units were 30% completed at the end of the period,

Write the total cost c as a function of the number : A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs are $25,000. They will sell the CD's for $98 each. Let x be the number of CD's produced.

Find the probability that the first card is e : Each of the letters in the word MENDOCINA is written on a card, and the cards are mixed thoroughly. You draw one card and replace it. You draw a second card. find the probability that the first card is E and the second card is N.

What will be its population count in 5 hours : A certain strain of virus grows in numbers at the rate of 50% per hour. If it's present population is 343,000 what will be its population count in 5 hours?

User Account

All Pages