Finance Mathematics - design a budget

Leslie earns $2000 a month and rents an apartment for $600 a month (utilities included), and also has a credit card with an annual interest rate of 7% and a balance of $1500. She currently has no savings. Design a monthly budget for Leslie so that at the end of two years, the credit card balance is as low as possible and Leslie has as much savings as possible. (You may assume that if she opens a savings account, it draws 3% annual interest compounded monthly.) Remember that Leslie needs to use some money for food and miscellaneous expenses. Assuming that she sticks to the budget you design, what will he credit card balance be at the end of two years, and how much will she have in savings... click for more

matrix reduction

I am to use matrix reduction on this problem. I can solve systems by matrixs with out any problem but I can't seem to set up the two equations for this problem so that I can even turn them into a matrix and solve. A company produces desks on both the east and west coast. The east coast plant, fixed costs are 16000 per year and the cost of producing each desk is $90. The west coast plant fixed costs are 20,000 per year ad the cost of producing each desk is $80. Next year the company wants to produce a total of 800 desks. Determine the production order for each plant for the forthcoming year if the total cost for each pant is to be the same.

Decision making using matrix reduction

I am having problems coming up with the equations(systems)to use for the following word problem. I don't usually have a problem with solving matrices infact I like them but I can't even get started on this problem. A company produces two products, A and B For each unit of A sold the profit is $8, and for each unit of B the profit is $11. It has bee n found from past experience that 25% more of A can be sold than of B. Next year the manufacturer desires a total profit of $42000. How many units of each product must be sold?

Sum

what is the sum of 1,605+1,219+1,153

calculate NPV at different discount rates & graph

I = Initial investment $1,000. R= cash flows $100. for 15 years calculate value of R so that NPV = 0 (NPV is on the vertical, discount rate horizontal)