Question

C(q)=110+5.9q where C(q) is in thousands of dollars. Determine the number of units that can be produced for a total cost of $877,000.

Answer 1

Approximately 130 units.

Step-by-step explanation:

To determine the number of units that can be produced for a total cost of $877,000, we can start by setting up the given equation:

C(q) = 110 + 5.9q

Where C(q) represents the cost in thousands of dollars and q represents the number of units produced.

Since the total cost is $877,000. Since the equation C(q) is in thousands of dollars, we need to convert $877,000 to thousands by dividing it by 1000:

877,000 / 1000 = 877

Now, we can set up the equation:

877 = 110 + 5.9q

Next, we need to isolate the variable q. We can do this by subtracting 110 from both sides of the equation:

877 - 110 = 5.9q

767 = 5.9q

To solve for q, we divide both sides of the equation by 5.9:

767 / 5.9 = q

q ≈ 130

Therefore, the number of units that can be produced for a total cost of $877,000 is approximately 130 units.

Answer 2

To determine the number of units that can be produced for a total cost of $877,000, substitute 877 for C(q) in the cost function and solve for q. The number of units is approximately 130.

Step-by-step explanation:

To determine the number of units that can be produced for a total cost of $877,000, we can set up the equation C(q) = 110 + 5.9q as the cost function. We want to find the value of q when C(q) equals 877. To do this, we can substitute C(q) with 877 in the equation and solve for q as follows:

877 = 110 + 5.9q

767 = 5.9q

q ≈ 130.17

Therefore, the number of units that can be produced for a total cost of $877,000 is approximately 130 units.1