Tommy Wang received an inheritance from his grandmother of $100,000. Rather than put the $100,000 that his grandmother left him in a mutual fund that earns 5% each year, Tommy Wang quit his job, which paid $60,000 per year, and started Wang's Wicker Furniture Store. He rented a showroom for $20,000 for the year, purchased $60,000 in wicker furniture, and incurred costs of $40,000 for sales help and advertising. In his first year, his revenue was $150,000. What is the opportunity cost of Wang's $100,000 inheritance being used to start his business?

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?