Linear Programming Part 3 - Writing Constraints

Reading a word problem and setting up the constraints and objective function from the description.

[apricot]

I have a test tomorrow, I was struggling with linear programming story problems and it just clicked once he explained it.

[khentsaludo]

8 standard wickets
16 deluxe wickets
$1040 sales
Am I right??

[sundaymakinwa]

Sorry!. I thought the question only wants to know how many wickets should made to maximize sales. therefore I think the hours are in the question for us to know how many standard and deluxe can be made in 80 hours. in this case 80/2 (for ginger) will give us how many giger the machine could make to run for 80 hours and 80/4 (how many delux the ginger machine could make in 80 hours). therefore (40x + 20y >= 15) for standard, and (20x + 26.7y >= 15) for deluxe, are contraints. please tell me what I did wrong here. Thanks

[okengkenneth]

quiz. The investor has to invest in an economy and has three options to invest in: banking,
insurance and manufacturing. The return on investment is 20%, 25% and 15% respectively.
The president said that he must invest the investment in banking should not exceed twice the
total investment in insurance and manufacturing by more than 3 million dollars. At the same
time not less than 30% of the investment should be in manufacturing. If the total money
available to the investor is 18 million dollars.
a) Formulate his problem as an LP problem
6 marls
b) Use the simplex tableu to calculate the maximum profit he can make

[inamascardo]

thank you so much for this! it helped out a ton.

[ThHotRed]

Wickets are stick like figures used in Cricket

[culomarieangelieg.]

the answer is z=1, 040 and it is the maximum sales

[rajakarunarlacrajakaruna]

pleas can you help me to solve this
company produces two products, A and B. The unit revenues are $2 and $3,
respectively. Two raw materials, M1 and M2, used in the manufacture of the two
products have daily availabilities of 8 and 18 units, respectively. One unit of A uses 2
units of M1 and 2 units of M2, and 1 unit of B uses 3 units of M1 and 6 units of M2.
(a) Determine the shadow prices of M1 and M2 and their feasibility ranges.
(b) Suppose that 4 additional units of M1 can be acquired at the cost of 30 cents per
unit. Would you recommend the additional purchase?
(c) What is the most the company should pay per unit of M2?
(d) If M2 availability is increased by 5 units, determine the associated optimum
revenue.

[saransh]

WHere can I find the graphical solution for this?