For the problems below, define variables and set up the syst…
For the problems below, define variables and set up the system of equations. Do not solve the system. a) I have 30 coins in my car. The coins are quarters, dimes, and nickels. The total value of the coins is $3.00. The number of quarters is twice the number of dimes. How many of each coin do I have? b) A factory has 1950 machine hours available each week in the cutting department, 1490 hours in the assembly department, and 2160 hours in the finishing department. A chair requires 0.2 hours of cutting, 0.3 hours of assembly, and 0.1 hours of finishing. A cabinet requires 0.5 hours of cutting, 0.4 hours of assembly, and 0.6 hours of finishing. A buffet requires 0.3 hours of cutting, 0.1 hours of assembly, and 0.4 hours of finishing. How many chairs, cabinets, and buffets should be produced in order to use all production capacity?