A buyer has decided to offer $335,000 for a home that she really likes. The bank will loan her 80% of the purchase price for 30 years at 5% interest. What will be the amount of her principal and interest payment if the requirement is $5.68 per thousand of the loan amount?

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?