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3 years ago

6

A music store bought a CD set at cost of $20. When the store sold the CD set, the percent markup was 10% what is the selling pri

ce

1 answer:

vovikov84 [41]3 years ago

3 0

Selling price is $22

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Find the maxium valve C=6x+2y. Subject to the following constraints x≥0, x≤5, y≥0, 4x-y≥1

Vadim26 [7]

Answer:

The maximum value of C is 68

Step-by-step explanation:

we have the following constraints

$x\geq 0$ ----> constraint A

$x\leq 5$ ----> constraint B

$y\geq 0$ ----> constraint C

$4x-y\geq 1$ ----> constraint D

Find out the area of the feasible region, using a graphing tool

The vertices of the feasible region are

(0,0),(5,19),(5,0)

see the attached figure

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

$C=6x+2y$

For (0,0) -----> $C=6(0)+2(0)=0$

For (5,19) -----> $C=6(5)+2(19)=68$

For (5,0) -----> $C=6(5)+2(0)=30$

therefore

The maximum value of C is 68

8 0

3 years ago

Miss lead says that if y varies directly with x and y=15 when x=-3, then y=-20 when x=4. Is she correct? Answer in complete sent

gizmo_the_mogwai [7]

Answer:

Yes, she is correct.

Step-by-step explanation:

y = kx is direct variation

15 = k*-3

k = -5.

So the equation of variation is

y = -5x

When x = -4:

y -5*-4 = 20.

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2 years ago

Sally eats 40 donuts everyday for six months... after the 6 months, what does Sally have?

marishachu [46]

Answer:

Sally eats 1240 donuts

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3 years ago

Find the product.<br><br> (3x^2+7)(6x^2−4x+5)

Lapatulllka [165]

Answer:

18x^4 − 12x^3 + 57x^2 − 28x + 35

7 0

3 years ago

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Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of t

sineoko [7]

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

Rate= 1.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=4000(1+0.015)^3

A= 4000(1.015)^3

A= 4000*1.045

A= 4180

Hence the worth will be 4180 AED

6 0

3 years ago