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 need to consider the values of the cars produced and the daily production quota.

Let's assume the number of compact cars produced is represented by the variable "x" and the number of luxury cars produced is represented by the variable "y". The value of the compact car is $10,000 and the value of the luxury car is $20,000.

The inequality can be written as follows:
10,000x + 20,000y ≥ 100,000

This inequality states that the total value of the produced compact cars (10,000x) plus the total value of the produced luxury cars (20,000y) should be greater than or equal to $100,000, which is the daily production quota.

B. On April 6, the factory produced 5 compact cars and 2 luxury cars. To determine if the company was above, below, or on target with their quota, we substitute the 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 the target with their quota.

C. On August 31, the factory produced 9 compact cars and 2 luxury cars. Again, we substitute the 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 the target with their quota.