A manufacturing company has the following fixed monthly costs and unit variable costs:
Rent = $2,200
Utilities = $375
Variable costs for materials and assembly = $13.25/unit
Monthly labor = $750
Given is the product is sold at $24.99 per unit
Let the number of units sold be x
Adding total cost =
Equation becomes:
x= 283.21
So, rounding it to nearest whole number we get, 283 units.
Answer:
Step-by-step explanation:
So, the function, P(t), represents the number of cells after t hours.
This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.
C)
So, we are given that the quadratic curve of the trend is the function:
To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:
Expand:
Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:
Differentiate. Use the power rule:
Simplify:
So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:
Multiply:
Subtract:
This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.
And we're done!