Need Helpp asap trying to graduate

irakobra [83]

8 books is the answer

6 0

3 years ago

A manufacturing company produces 3 different products A, B, and C. Three types of components, i.e., X, Y, and Z, are used in the

Murljashka [212]

Answer:

Step-by-step explanation:

Using the Excel Formula:

Decision Variable Constraint Constraint

A 65 65 100

B 80 80 80

C 90 90 90

14100 300 300

= (150 *B3)+(80*B4) +(65*B5)-(100-B3+80-B4+90-B5)*90

Now, we have:

Suppose A, B, C represent the number of units for production A, B, C which is being manufactured

A B C Unit price

Need of X 2 1 1 $20

Need of Y 2 3 2 $30

Need of Z 2 2 3 $25

Price of

manufac - $200 $240 $220

turing

Now, for manufacturing one unit of A, we require 2 units of X, 2 units of Y, 2 units of Z are required.

Thus, the cost or unit of manufacturing of A is:

$20 (2) + $30(2) + $25(2)

$(40 + 60 + 50)

= $150

Also, the market price of A = $200

So, profit = $200 - $150 = $50/ unit of A

Again;

For manufacturing one unit of B, we require 1 unit of X, 3 units of Y, and 2 units of Z are needed and they are purchased at $20, $30, and 425 each.

So, total cost of manufacturing a unit of B is:

= $20(1) + $30(3) + $25(2)

= $(20 + 90+50)

= $160

And the market price of B = $240

Thus, profit = $240- $160

profit = $80

For manufacturing one unit of C, we have to use 1 unit of X, 2 unit of Y, 3 units of Z are required:

SO, the total cost of manufacturing a unit of C is:

= $20 (1) + $30(2) + $25(3)

= $20 + $60 + $25

= $155

This, the profit = $220 - $155 = $65

However; In manufacturing A units of product A, B unit of product B & C units of product C.

Profit --> 50A + 80B + 65C

This should be provided there is no penalty for under supply of there is under supply penalty for A, B, C is $40

The current demand is:

100 - A

80 - B

90 - C respectively

So, the total penalty

${(100 - A) + (80 - B) +(90 - C) } + \$40$

This should be subtracted from profit.

So, we have to maximize the profit

$Z = 50A + 80B + 65C = {(100 -A) + (80 - B) + (90 - C)};$

Subject to constraints;

we have the total units of X purchased can only be less than or equal to 300 due to supplies capacity

Then;

$2A + B +C \le 300$ due to 2A, B, C units of X are used in manufacturing A, B, C units of products A, B, C respectively.

Next; demand for A, B, C will not exceed 100, 80, 90 units.

Hence;

$A \le 100$

$B \le 80$

$C \le 90$

and $A, B, C \ge 0$ because they are positive quantities

The objective is:

$\mathbf{Z = 50A + 80B + 65 C - (100 - A + 80 - B + 90 - C) * 40}$

A, B, C $\to$ Decision Varaibles;

Constraint are:

$A \le 100 \\ \\ B \le 100 \\ \\ C \le 90 \\ \\2A + B + C \le 300 \\ \\ A,B,C \ge 0$

6 0

3 years ago

To shift the graph of an equation some number of units to the __________, you

Zina [86]

Answer:

A

Step-by-step explanation:

it's A because if you're adding x from each number in the equation you would shift to the left causing the graph to become more positive but if you subtract x you would shift to the right causing the graph to become more negative.

5 0

2 years ago

On Monday a team of street sweepers cleaned 1/3 of the city block. Tuesday, the team cleaned 1/2 as many blocks as on Monday. Ho

IrinaVladis [17]

Answer:

1/2 half

Step-by-step explanation:

(1/3)/2 = 1/6

1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2

6 0

2 years ago

Divide R4 625 amongst Andrew, Brendan, and Clair so that for every R4 that

cestrela7 [59]

Using proportions, it is found that:

Andrew gets R 1850.

Each of Brendan and Clair get R 1387.5.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount.

In this problem, the total amount divided is R 4625.

For every R4 Andrew gets, both Brendan and Clair gets R3, hence the ratio is 4:3:3, which means that:

Andrew gets $\frac{4}{4 + 3 + 3} = \frac{4}{10} = 0.4$ of the total amount.

Brendan gets $\frac{3}{4 + 3 + 3} = \frac{3}{10} = 0.3$ of the total amount.

Clair gets $\frac{3}{4 + 3 + 3} = \frac{3}{10} = 0.3$ of the total amount.

Then:

$A = 0.4(4625) = 1850$

$B = C = 0.3(4625) = 1387.5$

Hence:

Andrew gets R 1850.

Each of Brendan and Clair get R 1387.5.

You can learn more about proportions at brainly.com/question/24372153

4 0

2 years ago