John has ,000 to invest in three funds F1, F2 and F3.Fund F1 is offers a return of 2% and has a low risk.
How many units of each type of toys should be stocked in order to maximize his monthly total profit profit?
Let x be the total number of toys A and y the number of toys B; x and y cannot be negative, hence x ≥ 0 and y ≥ 0 The store owner estimates that no more than 2000 toys will be sold every month x y ≤ 2000 One unit of toys A yields a profit of $2 while a unit of toys B yields a profit of $3, hence the total profit P is given by P = 2 x 3 y The store owner pays $8 and $14 for each one unit of toy A and B respectively and he does not plan to invest more than $20,000 in inventory of these toys 8 x 14 y ≤ 20,000 What do we have to solve?
From the graph, I can see which lines cross to form the corners, so I know which lines to pair up in order to verify the coordinates.
I'll start at the "top" of the shaded area and work my way clockwise around the edges: Given the inequalities, linear-programming exercise are pretty straightforward, if sometimes a bit long.
Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables.
Dissertation Economic Thought - How To Solve Linear Programming Word Problems
The profit per unit of T1 is and per unit of T2 is 0.Each month a store owner can spend at most 0,000 on PC's and laptops.A PC costs the store owner 00 and a laptop costs him 00.How many bags of food A and B should the consumed by the animals each day in order to meet the minimum daily requirements of 150 units of proteins, 90 units of minerals and 60 units of vitamins at a minimum cost?Let x be the number of bags of food A and y the number of bags of food B.Hence the company needs to produce 2300 tables of type T1 and 600 tables of type T2 in order to maximize its profit.A farmer plans to mix two types of food to make a mix of low cost feed for the animals in his farm.The hard part is usually the word problems, where you have to figure out what the inequalities are.So I'll show how to set up some typical linear-programming word problems.Hence the store owner has to have 1333 toys of type A and 667 toys of type B in order to maximize his profit. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish.It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish.