Manufacturing

a manufacturer's total cost is c(q) = 0.1q ^ 3 - 0.5q ^ 2 + 500q + 200 dollars when q thousand units are produced . currently , 4,000 units (q = 4) are being produced and the manufacturer is planning to increase the level of production to 4,100 . use marginal analysis to estimate how this change will affect total cost .

Total cost is $205328

Step-by-step explanation:

Given data:

cost C(q) = 0.1 q^3 - 0.5 q^2 + 500 q + 200

current units q = 4 ( 4000 units )

The current level of production is 4000 ( 4 )units, and manufacturer is planning to upgrade this to 4100 ( 4.1 ) units

C'(q) = 3 * 0.1 q^2 - 2 * 0.5 q + 500

C'(q) = 0.3 q2 - q + 500

C(4.1) - C(4) ≈ C’(4) x Δq

≈ C’(4) x 0.1

≈ ( 0.3 * 4^2 - 4 + 500 ) x 0.1

≈    (  0.3 * 16 - 4 + 500 ) x 0.1

≈    500.8 x 0.1 ≈      50.08

total cost = 4100 x   50.08 = $205328

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation: