The Toyota Co. has a daily production quota of $100,000 worth of cars. They produce two types of cars. Their compact model (x) is valued $10,000 and their luxury car (y) is valued at $20,000.
A. Write an inequality that describes the production quota
B. On April 6, the factory produced 5 compacts and 2 luxury cars. Was the company above, below or on target with their quota?
C. On August 31, the factory produced 9 compacts and 2 luxury cars. Was the company above, below or on target with their quota?
A. To write an inequality that describes the production quota, we can let C represent the number of compact cars produced and L represent the number of luxury cars produced. The production quota can be expressed as follows:
$10,000C + $20,000L ≤ $100,000
B. On April 6, the factory produced 5 compacts and 2 luxury cars. To determine if the company was above, below, or on target with their quota, we can substitute these values into the inequality:
$10,000(5) + $20,000(2) = $50,000 + $40,000 = $90,000
Since $90,000 is less than $100,000, the company was below target with their quota.
C. On August 31, the factory produced 9 compacts and 2 luxury cars. Again, we can substitute these values into the inequality:
$10,000(9) + $20,000(2) = $90,000 + $40,000 = $130,000
Since $130,000 is greater than $100,000, the company was above target with their quota.