. A man has the choice of running either a host-snack stall or an ice-cream stall at a sea side resort during the summer season. If it is a fairly cool summer, he should make Rs. 5000 by running the hot-snack stall, but if the summer is quite hot, he can only expect to make Rs. 1000. On the other hand, if he operates the ice-cream stall, his profit is estimated at Rs. 6500, if the summer is hot, but only Rs. 1000 if it is cool. There is a 40 per cent chance of the summer being hot. Should he opt for running the hot-snack stall or the ice-cream stall. Give mathematical argument.

Answers

Answer 1

Answer:

The investment cost from ice cream is significantly smaller than the hot dog shop, the man could perhaps opt for something like a hot dog stall.

Step-by-step explanation:

The given values are:

Percentage of being hot summer,

= 40%  

i.e,

= 0.4

So that,

The percentage of being cold,

= 1 - 0.4

= 60%

Now,

From hot dog, the expected profit will be:

⇒ [tex]5000\times P(cold \ summer) + 1000\times P(hot \ summer)[/tex]

On putting the values, we get

⇒ [tex]5000\times 0.6+1000\times 0.4[/tex]

⇒ [tex]3400[/tex]

From ice-cream stall, the profit will be:

⇒ [tex]6500\times P(hot \ summer)+1000\times P(cold \ summer)[/tex]

On putting the values, we get

⇒ [tex]6500\times 0.4+1000\times 0.6[/tex]

⇒ [tex]3200[/tex]

So the above is the right response.


Related Questions

The cost of a pair of shoes is Rs. 1000 . The GST charged was '5%' . Find the bill amount andalso find share of CGST, and SGST.​

Answers

Answer:

Bill amount = Rs. 1050

CGST share = SGST share = Rs. 25

Step-by-step explanation:

We are told that the GST charged was 5% and cost of a pair of shoes is Rs. 1000. Thus;

Bill amount = 1000 + (5/100) × 1000

Bill amount = Rs. 1050

Now, CGST and SGST are both usually half of GST rate.

Thus;

CGST rate = SGST rate = 5%/2 = 2.5%

Thus;

CGST share = SGST share = 2.5% × 1000 = Rs. 25

8x+4y=-3y
32+2y=7x-42

Answers

For number 1: x= -7y/8

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

b) 1000m

Step-by-step explanation:

the law of sines.

you know all the angles and the length of the side a

can someone help me with my math pels

Answers

Answer:

just do that quik mafs

Step-by-step explanation:

Find the x-intercept and y-intercept
from the following linear equation:
-7x+ 4y= 56
x- intercept ([?], [ ])
y - intercept ([ 1.[])

Answers

Answer:

y=14+ 7x/4

x=8+ 4y/7

Step-by-step explanation:

move all terms to the side that do not contain the variable.

(11 brainly points!) What fraction is equivalent to fraction numerator negative 3 over denominator 7 end fraction?
A.
fraction numerator 3 over denominator negative 7 end fraction
B.
fraction numerator negative 3 over denominator negative 7 end fraction
C.
fraction numerator negative 7 over denominator 3 end fraction
D.
7 over 3

Answers

Answer:

d

Step-by-step explanation:

because 3 is negative and needs to be at the bottom,hope this help

Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $36. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?

Answers

Answer:

30 tiles need to buy for same cost in both store.

Step-by-step explanation:

Let x be the number of tiles to buy for same cost in both store.

18+0.69 · n = 1.29 · n,

1.29n -0.69n =18 or

0.6n =18

n =18/0.6=30

Therefore, 30 tiles need to buy for same cost in both store.[Ans]

Answer:

I think you need to cross multiply

What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions

Answers

Answer:

one solution

Step-by-step explanation:

Given the equations

1/4x + 1 1/2y =5/8 ..... 1

3/4x - 1 1/2y =3 3/8 ..... 2

Get the value of x

Add both equations

1/4x + 3/4x = 5/8+3 3/8

4x/4 = 5/8+27/8

x = 32/8

x= 4

Substitute x = 4 into equation 1

From 1;

1/4x + 1 1/2y =5/8 .

1/4(4) + 3/2 y = 5/8

1 + 3/2 y = 5/8

3/2 y = 5/8 - 1

3/2 y = -3/8

Cross multiply

24y = -6

y = -6/24

y = -1/4

Hence the solution {x,y) is (4, -1/4)

The system has only one solution

which expression is equal to the expression below?
(6•9)^5

Answers

Answer

A

Explanation

Booker owns 85 video games.He has 3 shelves to put the games on. Each shelf can hold 40 games. how many more games does he have room for?

Answers

The amount of room he has for more games is 35. 3 times 40 = 120 - 85 = 35.

how many times does 10 go into 2280

Answers

Answer:

228

Step-by-step explanation:

On a coordinate plane, how are the locations of the points (5 , -7) and (-5 , 7) related?

A.
reflection across the y-axis
B.
reflection across the x-axis
C.
locations unrelated
D.
reflection across both axes

Answers

Answer:

its c or d but i think c

Step-by-step explanation:

2x/ 4x4 - 2x
simplify ​

Answers

Answer:

x^5/2 - 2x

Step-by-step explanation:

Cancel terms that are in both the numerator and denominator

2

Combine multiplied terms into a single fraction

3

Combine exponents

Answer: x^5/2 - 2x

Step-by-step

PLEASE ANSWER PLEASESEE

Answers

11 but i’m not sure haha

Answer:

I’m pretty sure the answer to this would be 11- but it could also be eight so check that but I’m pretttyyyy sure it’s 11. I hope that helps you

Step-by-step explanation:

Will give crown help

Answers

Answer:

-12,-2,8,48

Step-by-step explanation:

y=10x-2

If x is -1,

10(-1)-2

is -12

so y = -12.

The four boxes are -12,-2,8,48

Hope this helps plz hit the crown :D

5. Identify the slope and the y-intercept in the follow
equation: *
(5 puntos)
y = 5x + 3
Escriba su respuesta

Answers

Answer:

Slope (m) = 5

Y-intercept (b) = 3

Step-by-step explanation:

The equation of a line is y = mx + b, where (m) is the slope and(b) is the y-int.

Knowing this, we see that the slope is 5 and the y-int is 3.

hope this helps!

brainly what is y = 5x + 8; (2, 16)

Answers

Answer:

for finding the parallel line its y= 5x+6

Step-by-step explanation:

for the slope and y intercept its slope+5

y intercept its (0,8)

hopes this helps.

A
Solve the triangle.
19.3
b
45°
105
B
a

Answers

The answer is 30 degrees

A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)

Answers

Answer:

113.97 degrees

Step-by-step explanation:

use the cosine rule for finding an angle

cosA = b^2 + c^2 - a^2

                 2bc

In the given triangle angle A is greatest than any other angle.

What is the triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given sides of triangle, a=2cm,b=8cm,c=9cm

cosine law

Cos A =  [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144

Cos B =  [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36

Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex]  =  -13/52

A = Cos⁻¹ (141 /144 )

B = Cos⁻¹ (21/ 36 )

C = Cos⁻¹ (-13/52 )

Thus Angle A < Angle B < Angle C.

Therefore, Angle A is the greatest in the triangle.

Learn more about triangles here:

https://brainly.com/question/14712269

#SPJ2

rewrite as a simplified fraction what would it be

Answers

Answer:

37/45

Step-by-step explanation:

YEPPP THAT'S ITT DJJSJZJZK

Answer: The answer is 44/50 and the percentage is 88

Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!

Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $225. Now the cost is $300. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price? ​

Answers

Answer:

33.33% increase. 55.56% increase.

Step-by-step explanation:

solve for x parallel ​

Answers

Answer:

25

Step-by-step explanation:

3x - 5 = 2x + 20 ( corresponding angles)

3x - 2x = 20 + 5

x = 25

Can someone help me pls

Answers

Answer:

(-0.5, 0)

Step-by-step explanation:

The easiest way to do this question is by going to the left 0.5 and seeing how far you need to go up or down.

Find ln(-127.1).
this question must be at least 20 characters long so here’s some extra characters but that’s the whole question^

Answers

Answer:

The natural logarthim of a negative is undefined.

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

882-28282=9191

Step-by-step explanation:

Liberty Middle School’s enrollment increased to 660 students. This is an increase of 10% over last year’s enrollment. What was last year’s enrollment?

Answers

Answer:

600

Step-by-step explanation:

Last years enrollment was 100% of the number.

This year, the enrollment went up by 10%, so now, it's 110% of last years number.

Let last year's enrollment be x.

110% of x is 660

1.1x = 660

x = 660/1.1

x = 600

Answer: 600

Answer:

600

Step-by-step explanation:

I need help with an explanation

Answers

Answer:

18

Step-by-step explanation:

First add what you do know: -2 + 9 = 7

Next, to find the answer subtract that from 25 to find what is left over and that is you answer!

25-7=18

Hope that helped!! :)

HELP ME 50 POINTS RN.

Answers

Answer:

the last one. hope I help u

Answer:

S<30

need explain that?

how do you work out the percentage increase

Answers

divide original number with new number

6. Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)
12 + (n-1)(3)
3,24, 27
0,9,27
12,24, 42
12, 21, 39

Answers

Answer:

[tex] A_1 = 12[/tex]

[tex] A_4=21[/tex]

[tex] A_{10}= 39[/tex]

Step-by-step explanation:

[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]

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