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?
10x + 20y >= 100
10*5 + 20*2 = 90, so they were below quota
10*9 + 20*2 = 130, so were above quota
Ok dunno
A. To write an inequality that describes the production quota, we need to consider the value of the cars being produced. Let's denote the number of compact cars produced as "x" and the number of luxury cars produced as "y". The value of each compact car is $10,000, and the value of each luxury car is $20,000.
Therefore, the inequality that describes the production quota is:
10,000x + 20,000y ≥ 100,000
B. On April 6, the factory produced 5 compact cars (x = 5) and 2 luxury cars (y = 2). To determine if the company was above, below, or on target with their quota, we need to substitute these values into the inequality and check if it is true or false.
10,000(5) + 20,000(2) = 50,000 + 40,000 = 90,000
Since 90,000 is less than 100,000, the company was below their quota on April 6.
C. On August 31, the factory produced 9 compact cars (x = 9) and 2 luxury cars (y = 2). Again, we need to substitute these values into the inequality and check if it is true or false.
10,000(9) + 20,000(2) = 90,000 + 40,000 = 130,000
Since 130,000 is greater than 100,000, the company was above their quota on August 31.