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alekssr [168]
3 years ago
9

EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell

s for $46. The deluxe version requires $38 in capital and 6 hours of labor and sells for $55. How many of each type of bag should the company produce in order to maximize their revenue if they have $2,100 in capital and 280 labor-hours available?
The company should make ___ regular laptop bags and ___ deluxe bags to maximize revenue.
Mathematics
1 answer:
expeople1 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

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Hey there!

If the price per orange is $.26 and we want to know how many oranges he bought and we have our total, we can set o equal to how many oranges he got and set up an algebraic equation:

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We multiply .26 by o because o is how many oranges he bought and that's what we're solving for- so we multiply by the unit price.

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2 years ago
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2 years ago
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Answer:

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Step-by-step explanation:

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The equation that represents this situation can be expressed as:

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