equation – maximize objective function – bracelet manufacture
Golden Jewel wishes to produce three types of bracelet: Amethyst, Pearly and Emerald. To manufacture a bracelet type Amethyst requires 2 min on machine I and II and 1 min on machine III. A Pearly type bracelet requires 2 min on machine I, 9 min on machine II and 4 min on machine III. An Emerald type bracelet requires 4 min on machine I, 7 min on machine II and 1 min on machine III. There are 48 min available on machine I, 105 min available on machine II and 37 min available on machine III.
By denoting x, y and z as the number of bracelet type Amethyst, Pearly and Emerald manufactured. Represent the above information as a system of linear equations. By using the Gaussian Elimination method, how many bracelet of each type will be manufactured in order to use all the available time?