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Eddi Din [679]
2 years ago
14

Jose wants to start a restaurant and is writing a business proposal. His rent is $1,000 per month. The monthly operating costs a

re equal to the wages paid to the employees, w, plus the business overhead, k. Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs.
Mathematics
1 answer:
Harman [31]2 years ago
4 0

Answer:

Revenue =  5( 1000 + w+ k)

Step-by-step explanation:

Lets calculate expenses first

rent = $1000

wages = w

overhead cost = k

Total cost = rent + wage+ overhead

Total cost = 1000 + w+ k

Given Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs

Let revenue be R

Thus, putting the statement mathematically

revenue - total cost = 4 * operating cost

R - ( 1000 + w+ k) = 4( 1000 + w+ k)

R =  4( 1000 + w+ k) + ( 1000 + w+ k)

R =  5( 1000 + w+ k)

Thus, revenue should be  5( 1000 + w+ k).

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Read 2 more answers
A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov
Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

 \therefore \frac{15}{60}\ = \frac{1}{4}\  of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\  of\ the\ first\ mix\ is\ pure\ water

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\  \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\  \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water

3) and replaced it with 10 liters of water.

New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters

The final ratio of lemon juice to water:

\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

4 0
1 year ago
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