Question

The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x)=0.8x+40,000Find C(50,000), the cost of producing 50,000jars.

Answer 1

To calculate the cost of producing 50,000 jars using the given cost function C(x) = 0.8x + 40,000, substitute x with 50,000, leading to a total cost of $80,000.

Step-by-step explanation:

The student asked to find C(50,000), which is the cost of producing 50,000 empty jars, using the cost function C(x) = 0.8x + 40,000. To find this, we simply substitute 50,000 for x in the equation:

C(50,000) = 0.8(50,000) + 40,000

This yields:

C(50,000) = 40,000 + 40,000

C(50,000) = 80,000

Thus, the cost of producing 50,000 jars is $80,000.

Answer 2

Answer: 80,000

Step-by-step explanation: Start by plugging in 50,000 into the function for x. This gives you C(50,000)=0.8(50,000)+40,000. Next, multiply 0.8×50,000=40,000. This makes the function C(50,000)=40,000+40,000. Finally, just add 40,000+40,000=80,000. Therefore, C(50,000)=80,000.