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kogti [31]
3 years ago
13

Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka

Bar has 4 grams of natural sugar and 1 gram of sucrose. Each Everlasting Gobstopper has 2 grams of natural sugar and 3 grams of sucrose. Mr. Wonka has 60 grams of natural sugar and 75 grams of sucrose. If each Everlasting Gobstopper has a profit of $1.3 and each Wonka Bar has a profit of $3.2, how many of each candy would give him the maximum profit?
Mathematics
1 answer:
love history [14]3 years ago
8 0

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

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A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 180 ounces of a mixture
xxMikexx [17]

Answer:

water : 90 ounces

salt solution: 90 ounces

Step-by-step explanation:

Call w the amount of water and call the solution containing 30% salt.

We want to get 180 ounces of a mixture with 15% salt.

So:

The amount of mixture will be:

w + s = 180

the amount of salt will be

0w + 0.3s = 180 * 0.15

0.3s = 27

s = 90\ ounces

Now we substitute the value of s in the first equation and solve for w

w + 90 = 180

w = 90\ ounces

5 0
3 years ago
What is the ratio of 14 by 8 1/2 when the answer says _ to 1?
bearhunter [10]
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5 0
3 years ago
Which of the following expressions are equivalent to 6.53 - (-4.11) + 7.926.53?
umka21 [38]

Answer:

Choice B and Choise C.

Step-by-step explanation:

Equivalent expressions are those expressions that have the same value but they look different.

Given the following expression provided in the exercise:

6.53 - (-4.11) + 7.92

You need to remember the multiplication of signs in order to find the equivalent expressions:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Then:

- Eliminating the parentheses, you get this equivalent expression:

6.53 +4.11 + 7.92

- Since the mulplication of two negative signs gives yous a positive sign, you can rewrite the original expression in this form:

-(-6.53)+4.11-(-7.92)

This is an equivalent expression to 6.53 - (-4.11) + 7.92

8 0
3 years ago
A random sample of 7 fields of durum wheat has a mean yield of 29.8 bushels per acre and standard deviation of 3.62 bushels per
meriva

Answer:

CI = 29.8 ± 3.53

Critical value is z = 2.58

Step-by-step explanation:

First of all let's find margin of error. It is given by the formula;

ME = zσ/√n

We are given;

Standard deviation; σ = 3.62

Sample size; n = 7

Mean; x¯ = 29.8

Now, z-value for 99% Confidence level is 2.58

Thus;

ME = (2.58 × 3.62)/√7

ME = 3.53

CI is written as;

CI = x¯ ± ME

CI = 29.8 ± 3.53

Critical value is z = 2.58

5 0
3 years ago
A gumball machine has 78 gumballs. each person who puts a coin into the machine gets 3 gumballs. after a certain number of peopl
Lesechka [4]
D is the bast answer for this question, but, the equation should be (78-54)/3=p.
8 0
3 years ago
Read 2 more answers
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