A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a yearly profit of $900,000 if successful and a yearly loss of $300,000 otherwise. The probability of success is one half. If the second mall is selected, it is estimated that the yearly profit will be $600,000 if successful; otherwise, the annual loss will be $180,000. The probability of success at the second mall is three fourths.
Complete parts (a) through (c) below:
(a) what is the expected profit for the first mall?
(b) What is the expected profit for the second mall?
(c) Which mall should be chosen in order to maximize the expected profit?

A. the first mall should be chosen in order to maximize profit.
B. the second mall should be chosen in order to maximize profit.
C. either of the two malls may be chosen; the profit will be the same.

a) Expected profit = $300,000

b) Expected profit = $405,000

c) The second mall should be chosen in order to maximize the expected profit

Step-by-step explanation:

If the first mall is selected:

Anticipated profit on success = $900,000

Anticipated loss on failure = $300,000

Probability of success, p = 1/2

Probability of failure, q = 1-p = 1-1/2

q = 1/2

If the second mall is selected:

Anticipated profit on success = $600,000

Anticipated loss on failure = $180,000

Probability of success, p = 3/4

Probability of failure, q = 1-p = 1-3/4

q = 1/4

a) Expected profit for the first mall:

Expected profit = (p*profit) - (q*loss)

Expected profit =(1/2 * 900000) - (1/2 * 300000)

Expected profit = $300,000

b)  Expected profit for the second mall:

Expected profit = (p*profit) - (q*loss)

Expected profit =(3/4 * 600000) - (1/4 * 180000)

Expected profit = $405,000

c) The second mall should be chosen in order to maximize the expected profit

(a)Expected Profit of the first mall=$300,000

(b)Expected Profit of the second mall=$405,000

(c)(B)The second mall should be chosen in order to maximize profit.

Step-by-step explanation:

(a)First Mall

Yearly profit = $900,000

P(Success)=0.5

Yearly loss = $300,000

P(Failure)=0.5

Expected Profit = (900000*0.5)+(-300000*0.5)=$300,000

(b)Second Mall

Yearly profit = $600,000

P(Success)=0.75

Yearly loss = $180,000.

P(Failure)=0.25

Expected Profit=(600000*0.75)+(-180000*0.25)=$405,000

(c)The second mall should be chosen in order to maximize profit.

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.