A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C=0.3X^2+8,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 70 UNITS? Costs are ___ at the rate of $___ per month at this production level.

Costs are changing at the rate of $588 per month at this production level.

Step-by-step explanation:

From the question, we have:

C = 0.3X^2 + 8,000 (1)

Differentiating equation (1) with respect to time, t, we have:

dC/dt = (0.3 * 2) X (dX/dt) (2)

Where;

X = 70

dX/dt = 14

Substituting this into equation (2), we have:

dC/dt = (0.3 * 2) * 70 * 14

dC/dt = 588

This implies that costs are changing at the rate of $588 per month at this production level.

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it