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
agasfer [191]
3 years ago
12

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and

1/2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 8 per day. If the profit on the deluxe model is $98 per unit and the profit on the economy model is $72 per unit, how many units of each model will maximize profit? deluxe units economy units?

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

The maximum profit is reached with 4 deluxe units and 6 economy units.

Step-by-step explanation:

This is a linear programming problem.

We have to optimize a function (maximize profits). This function is given by:

P=98D+72E

being D: number of deluxe units, and E: number of economy units.

The restrictions are:

- Assembly hours: 3D+2E\leq24

- Paint hours: 0.5D+1E\leq8

Also, both quantities have to be positive:

D\geq 0\\\\E\geq0

We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)

(8;0) \rightarrow  P=98*8+72*0= 784\\\\(0;8) \rightarrow P= 98*0+72*8=576\\\\(4;6) \rightarrow P=98*4+72*6=824

The maximum profit is reached with 4 deluxe units and 6 economy units.

You might be interested in
321 ÷ 40 long division what the answer showing work
vodomira [7]
40 goes into 32 0 times 40 goes into 321 8 times 40 times 8 equls 320 so 8r1
7 0
3 years ago
Read 2 more answers
When the sum of 8 and a certain number is increased by 12, the result is the same as the product of 3 and the number. What is th
Roman55 [17]
ANSWER: The number is 10.
Hope this helps!!

I used the variable n as the number we needed to find. The equation was n + 8 + 12 = 3n

6 0
3 years ago
A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12 degrees . To the nea
Finger [1]

Answer:

Step-by-step explanation:

98.8

7 0
3 years ago
Find the value of f(-1) for the function below
mrs_skeptik [129]

Put the value of x = -1 to the equation of a function f(x):

f(x)=\dfrac{2}{3}\times3^{3x+12}\\\\f(-1)=\dfrac{2}{3}\times3^{3(-1)+12}=\dfrac{2}{3}\times3^{-3+12}=\dfrac{2}{3}\times3^9=\dfrac{2}{1}\times3^8=13,122\to\boxed{B.}

8 0
3 years ago
Factor completely
luda_lava [24]

Answer:

B)

B)

D)

Step-by-step explanation:

1. 7x^3y+14x^2y^3-7x^2y^2

The GCF of all the term of the above polynomial is 7x^2y , hence we take it outside and form a bracket

7x^2y(x+2y^2-y)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. 5x(x+3)+6(x+3)

The GCF of all the term of the above polynomial is (x+3) , hence we take it outside and form a bracket

(x+3)(5x+6)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. 8x^5+2x^4+4x^2

The GCF of all the term of the above polynomial is 2x^2 , hence we take it outside and form a bracket

2x^2(4x^3+x^2+2)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

4 0
3 years ago
Other questions:
  • An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebra
    13·1 answer
  • 8 hectograms = ____decagrams
    12·2 answers
  • The _______ position of a decimal is two numbers to the right of decimal point.
    10·2 answers
  • Select all that apply.
    9·2 answers
  • What is the value of sin 60
    9·1 answer
  • I don’t understand I need help ‍♀️
    12·2 answers
  • Can you also show the work plz
    6·1 answer
  • What is the slope of the line?
    9·1 answer
  • What is the probability of getting a number less than 4 and then roiling a 4?
    5·1 answer
  • ANSWER ASAP PLEASEEEEEE
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!