Many problems in business science and engineering involve tw

Many problems in business, science and engineering involve two or more simultaneous equations, we call these equations together a system of equations. One very common application in business is the break even analysis. If a system of equations contains a cost equation, and a revenue equation, the solution for the system represents the break even point. Think about other common business applications that can be explored using system of equations. Provide at least one business concept, and explain how it can be solved using systems of equations

Solution

Suppose a company is manufacturing 2 different parts which requires two different kind of alloys

Following table gives the data

Part A requires 3 units of alloy 1 and 2 units of alloy 2

Part B requires 4 units of alloy 1 and 7 units of alloy 2

Suppose the company has 26 units of alloy 1 and 39 units of alloy2

Number of part 1 and part 2 to be manufactured is given by system of equations

Let x be number of Part A units

let y be number of Part B units

3x+4y=26

2x+7y=39

x=2;y=5