A coffee franchise is opening a new store. The company estimates that there is an 80% chance the store will have a profit of $100,000, a 10% chance of the store will break even, and a 10% chance of the store will lose $2,500. Determine the expected gain or loss for this store

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Answer:

$70,750

Step-by-step explanation:

The expected gain/loss is found by adding the products of all of the profits/losses by their probability. So,

(0.8 * 100000) + (0.1 * 0) + (0.1 * -2500) =

80000 + 0 + -250 =

$70750

The expected gain or loss for this store is a gain of $79,750.

What is gain and loss ?

Gain is defined as the profit occurred by a store or a shopkeeper when an item is sold at a higher price than it was originally bought.

Loss is defined as the money lost by a store or a shopkeeper when an item is sold at a lower price than it was originally bought.

Both gain or loss is calculated by the formula -

Cost Price (CP) - Selling price (SP)

What is the expected gain or loss for this store ?

It is given that the company estimates that there is an 80% chance the store will have a profit of $100,000, a 10% chance of the store will break even, and a 10% chance of the store will lose $2,500.

Calculating the net gain or loss or the company -

= (80% * $100,000) + (10% * $0) - (10% * $2,500)

= (80/100 * $100,000) - (10/100 * $2,500)

= $80,000 - $250

= $79,750

Thus the net gain involved in the business by the company is $79,750 .

Therefore, the expected gain or loss for this store is a gain of $79,750.

To learn more about gain and loss, refer -

https://brainly.com/question/1370108

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