Answer:
The minimum cost of producing 60000 units of a product is $105867
Step-by-step explanation:
Since x is the number of units of labor, at $99 per unit, and y is the number of units of capital expended, at $84 per unit, The cost C(x,y) is given by:


For the minimum cost:

Using the langrage multiplier,

Dividing both equation 1 and 2

Substituting
in
, we get:
labor units
Substituting
labor units in
, we get
labor unit

The minimum cost of producing 60000 units of a product is $105867
You actually don't need a graph to be able to solve this equation. As long as you are given two data points, you can already solve for the linear equation.
The most common way of writing linear equations is the slope-intercept form:
y = mx + b, where m is the slope and b is the y-intercept.
The slope is the ratio of the change of y to the change of x coordinates. Let's say point 1 is (-1,3) and point 2 is (2,-3). Then,
m = (-3-3)/(2-⁻1) = -2
Next, we use any of the given point to the standard equation along with the m to find b. Let's use (-1,3)
3 = -2(-1)+b
b = 1
Thus, the complete linear equation is y = -2x + 1. The answer is B.
C as the temp increases the number of visitors increases
Answer:
For 15 years - 
After 15 years - 
Step-by-step explanation:
We have that,
Initial population is 110,000 which grows by the rate 4% i.e. 0.04 for 15 years.
Since, the exponential growth is given by
,
where P is the initial population, r is the rate of interest and x is the number of years.
Thus, the required population is
i.e.
.
Moreover, after 15 years i.e. x+15 years, the population will be
.
Thus, the population after 15 years is
.