1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
padilas [110]
2 years ago
9

A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6

ounces of coffee and 2 ounces of milk and earns a profit of $0.40. Each bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk and earns a profit of $0.50. The manufacturer has 720 ounces of coffee and 400 ounces of milk available for production each day. To meet demand, the manufacturer must produce at least 80 coffee drinks each day. Let x = the number of cappuccino bottles and y = the number of café au lait bottles.
Complete the objective function.

P = __ x + __ y
Mathematics
2 answers:
OlgaM077 [116]2 years ago
7 0

Answer:

  • <u><em>P = 0.40x + 0.50y</em></u>

Explanation:

The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.

Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.

Then:

  • using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and

  • using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.

The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

  • P = 0.40x + 0.50y

That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

Gekata [30.6K]2 years ago
3 0

Answer:

First part:

(1st) x + y >= 80

(3rd) 6x + 4y <= 720

(4th) 2x + 4y <= 400

2nd Part:

p = <u>0.40</u> x + <u>0.50</u> y

Step-by-step explanation:

Get that 100.

You might be interested in
What is 8/5 + 7/5<br> i would like to know
nikitadnepr [17]

Answer:

3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
1, 1, 4, 8, 9 , ?, 16, 64
Elden [556K]

Answer:

Missing number ⇒ 27

Step-by-step explanation:

Given sequence is:

1, 1, 4, 8, 9 , ?, 16, 64

We need to find the missing number of the sequence.

Solution:

We can see the series consist numbers 1, 2, 3, 4, 5.. of power 2 and 3 each respectively. So, the series is 1^{2},1^{3},2^{2},2^{3},3^{2},3^{3}..... such that

1 = 1^{2}\\1=1^{3}\\ 4=2^{2}\\\ 8=2^{3}\\\ 9=3^{2}\\\ 27=3^{3}------missing \ number\\\ 16=4^{2}\\\ 64=4^{3}

Therefore, missing number is 3^{3}= 27

8 0
2 years ago
What is the square root of 138
melamori03 [73]
The answer is 11.7473
3 0
3 years ago
Read 2 more answers
Find the product .-2 [7 -4 0]
Makovka662 [10]
It says find the product, so that means multiplication
-2[7 -4 0] = [-14 8 0]                                           solving: [-14 8 0] [-3 0 5]
                                                                           [42+0+70     -24+0+40   0+0+0]  
  [-14 8 0] * [-3 0 5] = [112 0 -30]                           = [112  16  0]
                                                                          [112  16  0]*[6  2  1]
[112 0 -30]* [6 2 1] = [1008 114 0]                  [672+224+112    96+32+16   +0]
                                                                          =[1008  114  0].

4 0
3 years ago
Find the decimal that is equivalent to <br> 1/15?
aleksley [76]
0.0667
Hope this helpsss
3 0
2 years ago
Read 2 more answers
Other questions:
  • Answer fast plzzzzzzzz
    9·2 answers
  • True or false A ratio shows a relationship between like values
    14·1 answer
  • I need the answer please
    14·1 answer
  • Draw a rectangular box with the origin and (4, 5, 6) as opposite vertices and with its faces parallel to the coordinate planes.
    5·1 answer
  • why woould you use the associative property of multiplication to solve (10×4) ×2? how would you you regroup the factors?
    11·1 answer
  • Y4 = 2x − 1 is this a straight line?
    13·1 answer
  • Which of the following functions is graphed below?
    5·1 answer
  • What’s the answer to x(-3-2)
    15·2 answers
  • The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure
    10·1 answer
  • An ant walk around a piece of a leaf that is in the shape of a right triangle. What is the total distance the ant traveled?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!