“jeremy, can you possibly give me a ride to the airport this sunday,” your friend ben asks. not thinking that this is a big deal, you agree to do this favor for ben. “oh, that’s great! so much. and by the way, i forgot that the plane leaves at 8: 30 am so i’ll have to be be at the airport by 6: 30 am. pick me up at 6: 00. see you then,” ben adds. you are still likely to do the favor for ben because you have just been a victim of the technique.

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?