answer.
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
FrozenT [24]
2 years ago
10

A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal parts of dark chocolate and carame

l and Candy B consists of two parts of dark chocolate and one part of walnut. The company has in stock 430 kilograms of caramel, 360 kilograms of dark chocolate, and 210 kilograms of walnuts. The company sells Candy A for P285 and Candy B for P260 per kilograms. How much of each candy should the manufacturer produce to maximize profit?
Mathematics
1 answer:
Sphinxa [80]2 years ago
6 0
If we let x as candy A
y as candy B
a as dark chocolate in candy a
b as dark chocolate in candy b
c as caramel
d as walnut
P as profit
we have the equations:
a + c = x
2b + d = y
a + 2b ≤ 360
c ≤ 430
d ≤ 210
P = 285x + 260y

This is an optimization problem which involves linear programming. It can be solved by graphical method or by algebraic solution.
P = 285(a + c) + 260(2b +d)
If we assume a = b
Then a = 120, 2b = 240
P = 285(120 + 120) + 260(240 + 120)
P = 162000
candy A should be = 240
candy B should be = 360
You might be interested in
Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integ
SCORPION-xisa [38]

Answer: PLEASE GIVE BRAINLIEST

72 integers

Step-by-step explanation:

Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.

3 0
2 years ago
240 students to 12 teachers as ratio
grigory [225]

Answer:

1 : 20 20 students for every 1 teacher

Step-by-step explanation:

divide both sides by 12

7 0
2 years ago
Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of
Gre4nikov [31]

Answer:

what the answer

Step-by-step explanation:

6 0
2 years ago
Convert 778.5 million km to scientific notation.
Doss [256]

778.5 Million in Scientific Notation is..

7.785 × 10^{8}

5 0
2 years ago
contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots
Tju [1.3M]

The houses can be placed in 362,880 ways.

<u>Step-by-step explanation:</u>

The 9 houses are each in different design.

The each lot can place any of the 9 houses.

  • The 1st lot can place anyone house of all the 9 houses.
  • The 2nd lot can place one of remaining 8 houses.
  • The 3rd lot can place one of remaining 7 houses.

Similarly, the process gets repeated until the last house is placed on a lot.

<u>From the above steps, it can be determined that :</u>

The number of ways to place the 9 houses in 9 lots = 9!

⇒ 9×8×7×6×5×4×3×2×1

⇒ 362880 ways.

Therefore, the houses can be placed in 362880 ways.

5 0
2 years ago
Other questions:
  • Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.
    8·1 answer
  • A class contributed $8.40 in dimes and quarters to the Red Cross. In all, there were 45 coins. How many coins of each kind were
    13·1 answer
  • Consider coordinate system a, with the x axis along the plane. which forces lie along the axes?
    6·1 answer
  • HIJK is a parallelogram because the midpoint of both diagonals is ____ which means the diagonals bisect each other.
    11·2 answers
  • What is the value of sin20sin30sin40sin80.
    15·1 answer
  • Kimberly is making strawberry lemonade for her class. she mixes two liters of lemonade and 3000 milliliters of strawberry juice.
    12·2 answers
  • Consider the system: y = 3x + 5 y = ax + b What values for a and b make the system inconsistent? What values for a and b make th
    7·2 answers
  • A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to
    12·2 answers
  • A basketball player's "hang time" is the amount of time the player remains suspended in the air after a jump. The height (in met
    13·1 answer
  • Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!