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2 years ago

Which of the following is true about the relation shown below?

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

Answer:

Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)

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Your firm has a price of $5, an average total cost of $7, and an average variable cost of $4. In the short run, you should

djverab [1.8K]

Answer:

Step-by-step explanation:

Given that a firm has a price of $5, an average total cost of $7, and an average variable cost of $4

Price = 5

Var cost = 4

Contribution = 1 dollar per unit

Since contribution is positive, there is scope for getting profit by increasing production.

In the short run, you should __operate______(operate/shut down) because __Price______exceeds ________ average variable cost price . In the long run, you should __exit______(stay in/exit) the market because ________ average total cost price exceeds____price.______average variable cost price average total cost

5 0

3 years ago

HELP! Simplify: -6 (5/3x+4) A) -10x-24. B) -10x-24. C) -10x+4. D) -10x-4.

pashok25 [27]

Answer:

D) -10x-4

Step-by-step explanation:

−6(5/3x+4)

=(−6)(5/3x+4)

=(−6)(5/3x)+(−6)(4)

=−10x−24

6 0

3 years ago

Read 2 more answers

Write the word sentence as an equation. Then solve.

leonid [27]

Answer:

As an equation: 15 × x = -75

Solved: x = -5

Step-by-step explanation:

15*x = -75

$\frac{15*x}{15}$ = $-\frac{75}{15}$ , Divide by 15 on both sides to solve for x

x= $-\frac{75}{15}$ , The 15 in the numerator cancels out with the denominator

x= -5, because 75/15=5

6 0

3 years ago

Read 2 more answers

Can anyone help me with this

ANTONII [103]

Answer:

Sure, what do you need

Step-by-step explanation:

4 0

3 years ago

A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours

qaws [65]

Answer:

The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.

Below are all the steps explained in detail.

The graph is attached.

Explanation:

1. Name the variables:

x: number of smaller lifts
y: number of larger lifts

2. Build a table to determine the number of hours each lift requires from each department:

Number of hours

small lift large lift total per department

Welding department 1x 3y x + 3y

Packaging department 2x 1y 2x + y

3. Constraints

150 hours available in welding: x + 3y ≤ 150
120 hours available in packaging: 2x + y ≤ 120
The variables cannot be negative: x ≥ 0, and y ≥ 0

Then you must:

draw the lines and regions defined by each constraint
determine the region of solution that satisfies all the constraints
determine the vertices of the solution region
test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

4. Graph

See the graph attached.

Here is how you draw it.

x + 3y ≤ 150
draw the line x + 3y = 150 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

2x + y ≤ 120
draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

the solution region is the intersection of the regions described above.

take the points that are vertices inside the solutoin region.

5. Test the profit function for each vertex

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

(0,0)
(0,50)
(42,36)
(60,0)

The profits with the vertices are:

P(0,0) = 0
P(0,50) = 25(0) + 90(50) = 4,500
P(42,36) = 25(42) + 90(36) = 4,290
P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0

2 years ago