Blue Split sells ice cream cones in a variety of flavours. The following are data for a recent week: Revenue (1,000 cones at $1.85 each) $1,850 Cost of ingredients $660 Rent 540 Store attendant 640 1,840 Pretax income $10 The manager estimates that if she were to increase the price of cones from $1.85 to $2.02 each, weekly volume would be cut to 850 cones due to competition from other nearby ice cream shops. Estimate the profit-maximizing price per cone.

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?