Grand Lake Furniture Company makes two types of picnic tables, rectangular and hexagon. The hexagon table takes 4 hours to make and 2 hours to finish. the rectangular table takes 3 hours to build and 1 hour to finish. The company can devote 240 hours to building the tables and 100 hours to finish the tables. Each hexagon table sold yeilds a profit of $7 and each rectangular table is sold for a profit of $5. Determine the number of each type table to make in order to maximize profit. Illustrate the solution using linear programming techniques including a graph of the problem.

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Solution Summary

Step by step detailed solution to all the problems is provided.

A linear program has the objective of maximizingprofit = 12X + 8Y. The maximum profit is $8,000. Using a computer we find the upper bound for profit on X is 20 and the lower bound is 9. Discuss the changes to the optimal solution (the values of the variables and the profit) that would occur if the profit on X were increased to

A California grower has a 50 acre farm on which to plant strawberries and tomatoes. The grower has available 300 hours of labor per week and 800 tons of fertilizer, and has contracted for shipping space for a maximum of 26 acres' worth of strawberries and 37 acres' worth of tomatoes. An acre of strawberries requires 10 hours of

Using the information below, in a linearprogramming problem, maximize the profit for product A and B.
Maximize profit $80A+$60B
Subject to the following constraints
15A+10B<=1200
19A+5B<=1000
A,B=>0
How many of each product should be produced and what is the profit at that level?

A manufacturer of outdoor clothing makes wax jackets and trousers. Each jacket requires 1 hour to manufacture, whereas each pair of trousers takes 40 minutes. The material for a jacket cost £32 and those for a pair of trousers cost £40. The company can devote only 34 hours per week to the production of jackets and trousers,

Linearprogramming
Items X1 X2
Profit per Item 3 6
Resource constraints Available Usage Left over
1 7 3 40 0 40
Output
X1= 0
X2= 0
Z= 0
Solve the following linearprogramming model by using the computer
Minimi

Furniture Unlimited has the capability to manufacture desks, cabinets, and chairs. In order to manufacture these product, it must rent the appropriate equipment at a weekly cost of $2,000 for the desks, $2,500 for the cabinets, and $1,500 for the chairs. The labor and material requirements for each product are shown iii the foll

Problem 3
Consider the following linearprogramming problem:
Max Z = $15x + $20y
Subject to :
8x + 5y <= 40
0.4x + y >= 4
x, y >= 0
Determine the values for x and y that will maximize revenue.
See the following attached file.

Please form a linearprogramming model for a restaurant. It sells 60 meals maximum. 15 minutes is required to prepare a fish plate and 30 minutes is required to prepare a beef plate. There is a total of 20 hours of kitchen staff labor available. The ratio of fish to beef dinners sold is 3:2 but 10% of the customers will order a