Math 1010: Mazimizing the Profit of a Business
 | The ProblemA manufacturer produces the following two items: computer desks and bookcases. Each item requires processing in each of the two departments. Department A has 55 hours available and department B has 39 hours available each week for production. To manufacture a computer desk requires 4 hours in department A and 2 hours in department B. Profits on the items are $72 and $23 respectively. If all the units can be sold, how many of each should be made to maximize profits? Linear Equations to Help Solve the Problem4x + 3y < 55 3x + 2y < 39 x > 0 y > 0 P = 72x + 23y |
Conclusion
After graphing the equations above, we found that the graph made four points at (0, 18.3), (0, 0), (12, 0), (7, 9).Then, proceeding to find what the points would make for profit once plugged into the profit formula, it was found that corner three, (13, 0) would provide the maximum profit totaling $936.00.
This project helped me to see how much math really does effect the real world and our everyday lives. Even in tasks such as producing computer desks and bookshelves, math is essential in being able to make the building of these objects profitable. This project furthered my understanding of how important math is, and how much it really is all around us.
