Indicate whether each of the following statements is true, false, or uncertain and explain why: a. a proportional tax on all commodities including leisure is equivalent to a lump sum tax. b. efficiency is maximized when all commodities are taxed at the same rate. c. average cost pricing for a natural monopoly allows the enterprise to break even, but the outcome is inefficient

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?