Answer:
a. C(1,000) = 420,491.11
b. c(1,000) = 420.49
c. dC/dx(1,000) = 429.72
d. x = 900
e. c(900) = 420
Step-by-step explanation:
We have a cost function for x units written as:
a. The total cost for x=1000 units is:
b. The average cost c(x) can be calculated dividing the total cost by the amount of units:
c. The marginal cost can be calculated as the first derivative of the cost function:
d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.
e. The minimum average cost is:
Answer:The woodchuck is an herbivore preferring tender plants to coarser bark and trees. They do not typically eat hard wood. While woodchucks do not “chuck” wood, they do “chuck” dirt as they build underground burrows. ... Woodchucks do not chuck wood.
Step-by-step explanation:
New York state wildlife expert Richard Thomas found that a woodchuck could (and does) chuck around 35 cubic feet of dirt in the course of digging a burrow. Thomas reasoned that if a woodchuck could chuck wood, he would chuck an amount equivalent to the weight of the dirt, or 700 pounds.
Answer:
The correct answer is C. $28,200.
Step-by-step explanation:
Given that James saw a truck at the dealership for $ 28,000 base price, $ 1,300 premium interior, $ 1,200 navigation touch-screen, and $ 1,700 smart traffic sensors, if his current vehicle is worth $ 5,000 and he's offered a 60% trade-in rate, to determine what is the total cost of the car after the $ 1,000 destination fee, the following calculation must be made:
28,000 + 1,300 + 1,200 + 1,700 - (5,000 x 60/100) = X
32,200 - (5,000 x 0.6) = X
32,200 - 3,000 = X
29,200 = X
29,200 - 1,000 = 28,200
Therefore, the total cost of the car after the $ 1,000 destination fee is $ 28,200.
Assuming ‘I’ is an imaginary unit . . .
Answer : -52 + 38i
X+y=62 ; x-y=12 Solve for x in one equation and plug that value into the other equation. ===> x=12+y ; 12+y+y=62 Subtract 12 to both sides (2y=50), then divide by 2 to find y (y=25). Now, plug 25 as y into x=12+y, getting x=37. Your two numbers are 37 and 25.
