Atoy manufacturer makes a toy truck, a toy car, and a toy boat. the production spreadsheet is: toy time to produce cost to produce profit for each truck 10 minutes $1.00 $1.00 car 12 minutes $0.75 $1.50 boat 8 minutes $0.80 $0.60 after accounting for breaks, a worker actually works 400 minutes each day. the manufacturer needs each worker to generate a potential profit of $35 each day. write a system of inequalities that expresses these constraints.

Step-by-step explanation:

Let x be the number of toy trucks, y be the number of toy cars and z be the number of toy boats a worker makes each day.

1. If a worker spends 10 minutes to make one toy truck, then he spends 10x minutes to make x toy trucks. If a worker spends 12 minutes to make one toy car, then he spends 12y minutes to make y toy cars. If a worker spends 8 minutes to make one toy boat, then he spends 8z minutes to make z toy boats. In total he can spend at most 400 minutes each day, then

2. If a worker generates profit of $1.00 per one toy truck, then he generates profit of $x per x toy trucks. If a worker generates profit of $1.50 per one toy car, then he generates profit of $1.50y per y toy cars. If a worker generates profit of $0.60 per one toy boat, then he generates profit of $0.60z per z toy boats. The manufacturer needs each worker to generate a potential profit of $35 each day, then

Thus, the system of two inequalities is

22.62

Step-by-step explanation:

Cos=12/13

12/13= 0.9231

Cos^-1(0.9231)=22.62