You worked from 9: 00 am to 7: 00 pm with a 45-minute unpaid lunch and an unpaid 15-minute break. you will be paid time and 1/2 for any time over 8 hours. your regular hourly wage is $12.50. what will you be paid in overtime?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?