Lily Saves a Garden

A tire company has plants in Chicago and Detroit. The Chicago plant can make 600 radial and 100 standard tires per day. The Detr

melomori [17]

Answer:

To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.

Step-by-step explanation:

This is a linear programming question, in which there is a function to optimize (minimize cost) and restrictions, all linear functions.

The objective function is Cost:

$C=4000H+3000D$

C: cost function

H: days of operation for Chicago plant

D: days of operation for Detroit plant

The restrictions are:

- Minimum requirements for radial tires:

$600*H+300*D\geq24,000$

- Minimum requirements for standard tires:

$100*H+100*D\geq5,000$

- Days are positive integers

$H,D\geq0$

We have 3 points in which 2 of the constraints are saturated. In one of this three points is the minimum cost.

We will evaluate them to find the minimum cost:

Point 1: H=0, D=80

$C=4,000*H+3,000*D\\\\C=4,000*0+3,000*80=240,000$

Point 2: H=50, D=0

$C=4,000*H+3,000*D\\\\C=4,000*50+3,000*0=200,000$

Point 3: H=30, D=20

$C=4,000*H+3,000*D\\\\C=4,000*30+3,000*20=120,000+60,000=180,000$

The third point minimizes the cost.

To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.

4 0

3 years ago

Read 2 more answers

Can someone help me with this please

Alex17521 [72]

A) 2/6,3/9,4/12
B) 2/8,3/12,4/16
C) 2/10,3/15,4/20
D) 4/10,6/15,8/20
E) 6/8,9/12,12/16
F) 10/16,15/24,20/32

6 0

3 years ago

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)

choli [55]

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

6 0

4 years ago

Read 2 more answers

Can somebody help me out? This is due so soon

olga_2 [115]

Answer:

y = $\frac{1}{2}$ x + $\frac{3}{20}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 10x - 20y = - 3 into this form

Subtract 10x from both sides

- 20y = - 10x - 3 ( divide all terms by - 20 )

y = $\frac{-10}{-20}$ x - $\frac{3}{-20}$ , that is

y = $\frac{1}{2}$ x + $\frac{3}{20}$ ← in slope- intercept form

6 0

4 years ago

Can someone help please ! Answer correct for brainliest and also get a thanks ! :)

Alona [7]

The standard deviation of the set is 5.2

To find standard deviation, we take the square root of the variance.

3 0

4 years ago