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777dan777 [17]
3 years ago
15

Evaluate the expression

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Step-by-step explanation:

this is correct answer thank you

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18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cos
Zigmanuir [339]

Andrew should make 6 bookcase and 12 tv stand to maximize his profut $1560.

Given that 18 pieces of furniture is made and the materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00 and he has $600.00 to spend on materials. He makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand.

Let x represent the number of book case and let y represent number of tv stand.

Total number of book case and total number of tv stand is x+y≤18     ......(1)

Total amount of book case and total amount of tv stand is 20x+40y≤600   ......(2)

minimum amount of book case is x≥0 and minimum amount of tv stand is y≥0.

Now, solve the inequality (1) by converting it into equality and substituting x=0 and y=0, we get

x+y=18

When x=0 then

0+y=18

y=18

When y=0 then

x+0=18

x=18

Now, solve the inequality (2) by converting it into equality and substituting x=0 and y=0, we get

20x+40y=600

When x=0 then

20(0)+40y=600

40y=600

y=15

when y=0 then

20x+40(0)=600

20x=600

x=30

Further, we will grph the inequalities and we get feasible region and taking boundary point from graph.

From the graph the vertices of the feasible region is (0,0),(6,12),(0,15) and (18,0)

Further, we will find the maximization profit for the equation Z=60x+100y

When (x,y)=(0,0) then

Z=60(0)+100(0)

Z=0

When (x,y)=(6,12) then

Z=60(6)+12(100)

Z=360+1200

Z=1560

When (x,y)=(0,15) then

Z=60(0)+12(15)

Z=0+1500

Z=1500

When (x,y)=(18,0) then

Z=60(18)+100(0)

Z=1080

Hence, maximum profit is $1560 when andrew should build 6 bookcase and 12 tv stand.

Learn more about inequality from here brainly.com/question/9774970

#SPJ1

4 0
2 years ago
Cameron has 75% as many shirts as her brother. How many shirts does Cameron have if her brother has 12 shirts
Nataly [62]

Answer:

9

Step-by-step explanation:

75 percent of 12 is 9 I don't know what else to type here sorry

3 0
2 years ago
On Monday in Minneapolis, Minnesota, it was 0 °F
erastovalidia [21]
Wouldn’t it be -10° since 0-15=-15° and +5, -10°
4 0
3 years ago
Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation
podryga [215]
Y=10
Y=7x
10=7x
7/10= 1.43
A.$1.43
1.43•5=$7.15
B.$7.15
I think this is the answer hope it helps
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3 years ago
What is the measure of
dimaraw [331]

Answer:

what what is the question

6 0
2 years ago
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