Businesses receive positive feedback about the effectiveness of their

Each machine must be run by one of 19 cross-trained workers who are each available 35 hours per week. The plant has 10 type 1 ma

Mrac [35]

Answer:

The Linear programming model is given as below

Profit Function: $P=90X+120Y+150Z$

Constraints:

$2X+2Y+Z\leq 400$

$3X+4Y+6Z\leq 240$

$4X+6Y+5Z\leq 320$

$\dfrac{2X+2Y+Z}{40}\leq 10$

$\dfrac{3X+4Y+6Z}{40}\leq 6$

$\dfrac{4X+6Y+5Z}{40}\leq 8$

$\dfrac{2X+2Y+Z}{35}+\dfrac{3X+4Y+6Z}{35}+\dfrac{4X+6Y+5Z}{35}\leq 19$

Explanation:

As the question is not complete, the complete question is found online and is attached herewith.

Let the number of product 1 to be produced is X, that of product 2 is Y and product 3 is Z

so the maximizing function is the profit function which is given as

$P=90X+120Y+150Z$

Now as the number of hours in a week are 40 and there are a total of 10 type 1 machines so the total number of machine 1 hours are 40*10=400 hours

As from the given table product 1 uses 2 machine hours of machine 1, product 2 uses 2 machine hours of machine 1 and product 3 uses 1 hour of machine 1 so

$2X+2Y+Z\leq 400$

Now as the number of hours in a week are 40 and there are a total of 6 type 2 machines so the total number of machine 2 hours are 40*6=240 hours

As from the given table product 1 uses 3 machine hours of machine 2, product 2 uses 4 machine hours of machine 2 and product 3 uses 6 hour of machine 2 so

$3X+4Y+6Z\leq 240$

Now as the number of hours in a week are 40 and there are a total of 8 type 3 machines so the total number of machine 3 hours are 40*8=320 hours

As from the given table product 1 uses 4 machine hours of machine 3, product 2 uses 6 machine hours of machine 3 and product 3 uses 5 hour of machine 3 so

$4X+6Y+5Z\leq 320$

Now as the machine 1 is used as 2X+2Y+Z in a week and the week is of 40 hours so the number of machines to be used are given as

$\dfrac{2X+2Y+Z}{40}\leq 10$

Now as the machine 2 is used as 3X+4Y+6Z in a week and the week is of 40 hours so the number of machines to be used are given as

$\dfrac{3X+4Y+6Z}{40}\leq 6$

Now as the machine 3 is used as 4X+6Y+5Z in a week and the week is of 40 hours so the number of machines to be used are given as

$\dfrac{4X+6Y+5Z}{40}\leq 8$

Now the workers are available for 35 hours so the worker available at the machine 1 is given as

$\dfrac{2X+2Y+Z}{35}$

That of machine 2 is given as

$\dfrac{3X+4Y+6Z}{35}$

That of machine 3 is given as

$\dfrac{4X+6Y+5Z}{35}$

As the total number of workers is 19 so the constraint is given as

$\dfrac{2X+2Y+Z}{35}+\dfrac{3X+4Y+6Z}{35}+\dfrac{4X+6Y+5Z}{35}\leq 19$

So the Linear programming model is given as below

Profit Function: $P=90X+120Y+150Z$

Constraints:

$2X+2Y+Z\leq 400$

$3X+4Y+6Z\leq 240$

$4X+6Y+5Z\leq 320$

$\dfrac{2X+2Y+Z}{40}\leq 10$

$\dfrac{3X+4Y+6Z}{40}\leq 6$

$\dfrac{4X+6Y+5Z}{40}\leq 8$

$\dfrac{2X+2Y+Z}{35}+\dfrac{3X+4Y+6Z}{35}+\dfrac{4X+6Y+5Z}{35}\leq 19$

4 0

4 years ago

What is the BEST way to stay organized? Person with a descriptive and correct one sentence answer will receive brainliest for th

olga55 [171]

Answer:

Jssjnsnss is a great place to work for and it is a great place to work for and it will help us out to the best of our experience as well as the best and fastest growing business in the

7 0

2 years ago

Read 2 more answers

Suppose that Dunkin Donuts reduces the price of its regular coffee from $2 to $1 per cup, and as a result, the quantity sold per

harkovskaia [24]

Answer:price elasticity of demand for Dunkin Donuts’ regular coffee is 1.8

Explanation: Using the midpoint formnulae

Price elasticity of Demand =percentage change in quantity demanded/ Percentage change in price.

Percentage change in quantity = new quantity - old quantity / (new quantity + old quantity)/2 x 100

= 40-10/(40+10)/ 2 = 30 /25 = 1.2 x 100 =120%

Percentage change in price = new price - old price / new price + old price)/2 x 100

= 1- 2 / (1+2)/2= -1/1.5x 100 = -66.67 %

Price elasticity of Demand =percentage change in quantity demanded/ Percentage change in price.

= 120%/-66.67%= -1.79 = -1.8

For Price elasticity of demand, the sign is not included and the basis for elasticity is on the value itself . here we can conclude that the Price elasticity of demand for Dunkin donut is 1.8 and elastic because a fall in price led to an increase in amount being sold.

3 0

3 years ago

Which formula is correct formatting for a nested function?

erastova [34]

Answer:

=IF(AND(B2>3000,02>2000),"Bonus","No Bonus")

Explanation:

A nested If statement is used when 1 or more conditions are to be tested. The result of the nested function depends based on the true value of the function.

i.e. If the nested statement is true, certain operations are to be done otherwise, do something else. In other words, the IF function allows you to make a logical comparison between a value and what you expect by testing for a condition and returning a result if True or False.

The syntax of a nested function goes thus

IF( condition1, value_if_true1, IF( condition2, value_if_true2, value_if_false2 ))

This would be equivalent to the following in Excel

= IF(condition1,"value_if_true",value_if_false)

Base on the above explanation, only option B is right.

And what it does is that

it checks if cell B2 is greater than 3000 AND cell 02 is greater than 2000.

If both statement are true, "Bonus" will be the output result

If one ore both statement are false, "No Bonus" will be the output result

7 0

3 years ago

Assume there are six companies in a certain industry. Four companies have $10 sales apiece, while two companies have $5 sales ea

antoniya [11.8K]

Answer:

An industry consists of six firms with annual sales of $300, $500, $400, $700, $600, and $600, respectively. a. What is the industry's four firm concentration ratio? b. What is the industry's Herfindahl-Hirschman index? c. Is this industry highly concentrated? Explain.

Explanation:

5 0

3 years ago