Need help to simplify

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm= $7

Each mixer produced nets the firm= $6

Using this all data linear system of equation will be:

$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

$from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\$

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0

4 years ago

The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2). What will be the remainder over the divisor?

PIT_PIT [208]

Divide 3x3 – 5x2 + 10x – 3 by 3x + 1

5 0

4 years ago

Read 2 more answers

The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.

aleksley [76]

Answer:

59.04°

58.31 inches

Step-by-step explanation:

The solution triangle is attached below :

Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;

Let the angle = θ

Tanθ = opposite / Adjacent

Tanθ = 50/30

θ = tan^-1(50/30)

θ = 59.036°

θ = 59.04°

The length of ladder can be obtained using Pythagoras :

Length of ladder is the hypotenus :

Hence,

Hypotenus = √(adjacent² + opposite²)

Hypotenus = √(50² + 30²)

Hypotenus = √(2500 + 900)

Hypotenus = 58.309

Length of ladder = 58.31 inches

4 0

3 years ago

Read 2 more answers

The square root of 5 less than twice a number is 7. find the number

Sati [7]

Answer:

27

Step-by-step explanation:

Let the number to find out be 'x'

Therefore,

according to the condition given question, we get the equation as

$\sqrt{2x-5}=7$

Now,

squaring both the sides, we get

2x - 5 = 49

on adding 5 both sides, we get

2x - 5 + 5 = 49 + 5

or

2x = 54

or

x = $\frac{\textup{54}}{\textup{2}}$

or

x = 27

Hence, the number is 27

8 0

3 years ago

In a parallelogram, one angle is 9 times the size of another. Find the measures of the angles.

Pavlova-9 [17]

In a parallelogram, opposite angles are congruent. However, the same thing cannot be said for the other.

You can label one pair of opposite angles with x and the other 9x.

You also know that each quadrilateral has interior angles that add up to 360 so you can create the equation of
9x+9x+x+x=360
which can be simplified into

20x=360

x=18

Now, you know the angle measures of one pair of opposite angles. to find the other you plug in 18 to our other equation and multiply 9 to get 162.

The angles of the parallelogram is 18,18, 162 and 162.

Note: you can check if this is right if all the angles add up to 360.

7 0

3 years ago