An apparel manufacturing plant has estimated the variable cost to be $4.20 per unit. Fixed costs are $1,300,000 per year. Forty percent of its business is with one preferred customer and the customer is charged at cost. The remaining 60% of the business is with several different customers who are charged $20 per unit. If 200,000 total units are sold in a year, compute the unit cost per item.

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?