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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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Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)
Tamiku [17]

Answer:

The answer is

<h2>y =  \frac{1}{4} x -  \frac{19}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

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m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

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Comparing with the general equation above

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Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point

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<h3>y + 9  =  \frac{1}{4} (x - 2) \\ y + 9 =  \frac{1}{4} x -  \frac{1}{2}  \\ y =  \frac{1}{4} x -  \frac{1}{2}  - 9</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x -  \frac{19}{2}</h3>

Hope this helps you

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