Kate was responsible for hiring a fireworks company to put on a show at the end of the local college team's homecoming game. When a student was hurt from a falling firework, his parents sued. Kate then discovered that the fireworks' company's Insurance coverage had lapsed. What type
of risk led to this complication? what
risk hampered Kate's decision

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?