An invoice has a subtotal of $42.60 for the items, a new customer discount of $5.00 to be applied before taxes, and a sales tax of 7.5%. what is the correct invoice total? a. $45.10 b. $51.17 c. $40.79 d. $40.42

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?