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MAXImum [283]
3 years ago
9

a lunch stand makes a $.75 profit on each chef's salad and $1.20 profit on each caesar salad. On a typical weekday, it sells bet

ween 40 and 60 chefs salads and between 35 and 50 caesar salads. the total number sold has never exceed 100 salads. how many of each type should be prepared in order to maximize profit?

Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:

<em>50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.</em>

Step-by-step explanation:

Suppose, the number of Chef's salad is x and the number of Caesar salad is y

On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.

So, the two constraints are:  40\leq x\leq 60 and  35\leq y\leq 50

The total number sold has never exceed 100 salads. So, another constraint will be:   x+y\leq 100

According to the graph of the constraints, the vertices of the common shaded region are:  (40,35), (60,35), (60,40), (50,50) and (40,50)   <em>(Refer to the attached image for the graph)</em>

The lunch stand makes a $.75 profit on each Chef's salad and $1.20 profit on each Caesar salad. So, the profit function will be:  P=0.75x+1.20y

For  (40, 35) ,   P=0.75(40)+1.20(35)=72

For  (60, 35) ,   P=0.75(60)+1.20(35)=87

For  (60, 40) ,   P=0.75(60)+1.20(40)=93

For  (50, 50) ,   P=0.75(50)+1.20(50)=97.5 <u><em>(Maximum)</em></u>

For  (40, 50) ,   P=0.75(40)+1.20(50)=90

Profit will be maximum when x=50 and y=50

Thus, 50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

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Determine whether the statement is sometimes, always, or never true.
Elina [12.6K]

Answer:

  always true

Step-by-step explanation:

Adding 4-b to both sides of the equation gives ...

  ax = 4

Then dividing by "a" gives ...

  x = 4/a

This is always true when a≠0.

5 0
3 years ago
Can I get help with this please
S_A_V [24]

Answer:

Step-by-step explanation:

you want to multiply y by 2  or divide by 1/2  

? = 1/2  in this problem

3 0
3 years ago
A collection of dimes and quarters is worth $6.50. There are 35 coins in all. How many dimes are there?
DIA [1.3K]
Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is <span>x+y=35</span>Remember the total number of coins is 35.
The other equation is <span>25x+.1y=6.5</span>Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20
I hope this can help you indeed</span></span>
8 0
3 years ago
It has been decided that 100 people need to be surveyed to decide the publics opinion on a school building project. A student su
Morgarella [4.7K]

Answer:

The proposed way of sampling is a biased way to perform the survey.

Step-by-step explanation:

Convenience sampling is a kind of non-probability sampling method that comprises of the sample being taken from that portion of the population that is near to hand.  In this type of sampling method, all items doesn’t have an equivalent chance of being selected, which doesn’t comprises of random collection of items.

Convenience sampling is where we take in items which are easy to reach.

Convenience sampling consists of selection bias, i.e.e the bias involved in the sample due to inappropriate selection procedures.

For example, randomly selecting 4 people sitting near him to guesstimate the mean age of the class is a convenience sampling example. or gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.

In this case, the sample suggested by the students consists of surveying the first 100 people who enter the school, about the public opinion on a school building project.

This is an example of convenience sample.

So, there is a selection bias present in the sample.

Thus, the proposed way of sampling is a biased way to perform the survey.

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3 years ago
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Answer: 4!!!!!!!!!!! Or is it 9?

Step-by-step explanation:

6 0
3 years ago
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