The quiet meadow studio sells photographs and prints. it costs $20 to purchase each photograph and it takes 2 hours to frame it. it costs $25 to purchase a print and it takes 5 hours to frame it. the store has at most $400 to spend and at most 60 hours to frame. the store makes a $30 profit on each photograph and a $50 profit on each print. determine the maximum profit. 600 800 360 740 700

Question

10-06-2017
Business

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The quiet meadow studio sells photographs and prints. it costs $20 to purchase each photograph and it takes 2 hours to frame it. it costs $25 to purchase a print and it takes 5 hours to frame it. the store has at most $400 to spend and at most 60 hours to frame. the store makes a $30 profit on each photograph and a $50 profit on each print. determine the maximum profit. 600 800 360 740 700

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BlueSky06 BlueSky06 · Answer 1 · 2017-06-22T09:33:09+02:00

For this item, we let x and y be the number of photographs and prints sold by the Quiet Meadow studio. The equations that would best represent the given in this item are,

20x + 25y ≤ 400

2x + 5y ≤ 60

The values of x and y are 10 and 8, respectively.

Calculating for the profit,

30(10) + (50)(8) = 700

The answer is the last choice.

WeAreHelping WeAreHelping · Answer 2 · 2020-01-17T14:43:56+01:00

$ 700 is the maximum profit

Further explanation

$ 20 for the price of a photo and it takes 2 hours to process

$ 25 for the price of the mold and it takes 5 hours to manufacture

Store cash is $ 400

Maximum working time is 60 hours

Good for every $ 30 photo

Good for every $ 50 print

So, the maximum profit gained by the quiet Meadow Studio is as follows

60 hours: 2 hours = 30 photos (Photos that can be framed)

60 hours: 5 hours = 12 prints (Prints can be framed)

1 Package = 1 Photo and 1 Prints

30 photos - 12 prints = 18 photos (without prints)

Within 60 hours, and with $ 400 cash the studio can produce:

2 Photo without print

8 Photos with print

2 Photos x $ 20 = $ 40 (sales turnover of photos)

8 photos with prints x ($ 20 + $ 25) = $ 360 (sales turnover of photos and prints)

Total turnover = $ 400

Luckily, each photo added = $ 30 / photo

and mold profit = $ 50 / mold

10 Photos x $ 30 = $ 300

8 prints x $ 50 = $ 400

Profit Photos + Profit Prints = $ 300 + $ 400 = $ 700

$ 700 is the maximum profit

Learn more

Sales profit https://brainly.com/question/4045235

Maximum value https://brainly.com/question/4045235

Details

Class: college

Subject: Business

Keywords: profit, sales, maximum