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3 years ago

Linear Programming:

1 answer:

7 0

Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2

The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67

Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.

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Y = a x 3 + b x 2 + c x + d

Alla [95]

Answer:

If its a cube function. Then I think this is the answer. Can you mark brainliest? And can you tell me if it's right or wrong?

Step-by-step explanation:

Consider the cubic function f(x) = ax^3 + bx^2 + cx + d. Determine the values of the constants a, b, c and d so that f(x) has a point of inflection at the origin and a local maximum at the point (2,...

Consider the cubic function f(x) = ax^3 + bx^2 + cx + d. Determine the values of the constants a, b, c and d

so that f(x) has a point of inflection at the origin and a local maximum at the point (2, 4). ==>c=3

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3 years ago

Approximate the real zeros of f(x)= 2x^3 - 4x^2 - 3 to the nearest tenth.

Scrat [10]

Answer:

b.2.3

Step-by-step explanation:

f(x)= 2x^3 - 4x^2 - 3

see graph below

only x intercept is 2.287

6 0

3 years ago

This equation shows how the time required to ring up a customer is related to the number of items being purchased. t = 4p + 20 T

konstantin123 [22]

Answer:

6 items are being purchased

Step-by-step explanation:

Given that variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer, If it takes 44 seconds to ring up a customer then the number of items being purchased may be computed by substituting the value of t into the given equation

t = 4p + 20.

Using t = 44

44 = 4p + 20

collect like terms or subtract 20 from both sides

44 - 20 = 4p

24 = 4p

Divide both sides by 4

24/4 = p

p = 6

4 0

3 years ago

Is 43 odd or even?but the answer don't have to be great i just need a answer

cupoosta [38]

43 is an odd number.

4 0

3 years ago

Quadrilateral ABCD is dilated by a scale factor of 1 over 3 centered around (1, 2). Which statement is true about the dilation?

Sonbull [250]

Note: Since you missed to add the figure. So, after a little research I am kind of able to find the figure and hence, assuming it as a reference. Hence, I am attaching the figure and solution of that figure is also visible in the same figure. Please check the attached figure (a)

Answer:

Segment B'D' will be parallel to segment BD and will be shorter than segment BD. Please see the attached figure (a) for better understanding.

Step-by-step explanation:

As we know that there are certain rules when a quadrilateral is dilated by a certain scale centered around a certain point.

So,

Let suppose P(a, b) is the point.

The dilation rule by a scale factor of 1 over 3 or (1/3) centered around (1, 2) is

P(a, b) → $P(\frac{x+2}{3}, \frac{y+4}{3})$

Hence,

A(1, 2) → A'(1, 2)

B(2, 3) → B'(4/3, 7/3)

C(4, 2) → C'(2, 2)

D(2, 1) → D'(4/3, 5/3)

The attached figure show that if we draw the all these points in the coordinate plan i.e. A(1, 2), B(2, 3), C(4, 2), D(2, 1) and A'(1, 2), B'(4/3, 7/3), C'(2, 2), D'(4/3, 5/3), we can determine that Segment B'D' will be parallel to segment BD and will be shorter than segment BD.

Keywords: dilation, quadrilateral, segment

Learn more about dilation from brainly.com/question/7569824

#learnwithBrainly

7 0

3 years ago