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lina2011 [118]
3 years ago
11

Frank owns a clothing store that sells shorts and graphic T-shirts. He sells the shorts for $14 each and the T-shirts for $6 eac

h. He is limited to the constraints shown by the set of inequalities below. Which of the points (s,t) will maximize Frank's revenue?
s≤ 18-0.5t
s≥ 10-t
s≤ 30-t
s≥0
t≥0
Mathematics
2 answers:
Dmitrij [34]3 years ago
6 0

Answer:

(18,0)

Step-by-step explanation:

Rasek [7]3 years ago
3 0

Answer:

Let s be the number of shorts and t be the number of T-shirts. s shorts cost $12s and t T-shirts cost $5t, then you have to find min and max value for the function f(s,t)=12s+5t.

The shaded domain (see image) is defined from the system of unequalities. The green lines are the graphs of function f(x,y) and it intersects domain in first point (0,5) (the minimum point) and in last point (20,0) (the maximum point). So,

.

Step-by-step explanation:

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How would i round 42.42640687 to the nearest foot? Please help
N76 [4]

Answer:

42, or 42.4 is round to the nearest tenth or 42.43 is round to the nearest hundreths

Step-by-step explanation:

6 0
2 years ago
Find y. (leave answer in simplest radical form) *
egoroff_w [7]

Answer:

12

Step-by-step explanation:

We already found x in a previous problem.

x = 6

The right triangle on the right side with sides x and y is also a 30-60-90 triangle.

The hypotenuse is twice the short leg.

x = 6

y = 2x

y = 12

6 0
3 years ago
Using the rule y= 3x + 4, find the value of y when xis 2.
Ne4ueva [31]

Step-by-step explanation:

given

y = 3x + 4

y(2) = 3(2) + 4 \\  = 6 + 4 = 10

5 0
3 years ago
Read 2 more answers
Pllzlzz answer
rusak2 [61]

Answer:

x ≈ 6

Step-by-step explanation:

The legs of an isosceles triangle are congruent , both 2x - 4 , then

x + 2x - 4 + 2x - 4 = 24 , that is

5x - 8 = 24 ( add 8 to both sides )

5x = 32 ( divide both sides by 5 )

x = 6.4 ≈ 6 ( to the nearest whole number )

8 0
2 years ago
Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t
Neporo4naja [7]

Answer:

V=61.66

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

f(x)=g(x)\\ln(x)=\frac{1}{2}x-2

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\

and by replacing in the integral we have

V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\

V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]  

and by evaluating in the limits we have

V=61.66

Hope this helps

regards

3 0
3 years ago
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