Answer:
Step-by-step explanation:
Unit rate = $32/(5 pounds) = $6.40/pound
[You can convert that to smaller units:
$6.40/pound × (1 pound)/(16 ounces) = $0.40/ounce]
:::::
Cost = (number of pounds) × $6.40/pound
:::::
12 pounds × $6.40/pound = $76.80
The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:
16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544
Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:
15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X
Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
<span>5x + y = -21:
(-6, 9), (0, -21), (1, -26).</span>
Answer:
Perfect!
Step-by-step explanation:
Complementary= 90 degrees
Supplementary= 180 degrees
Looks like you got both of those. Good job!
<1 + <2 = 90
<1 = 55
90-55=35
<2=35
<2+ <3= 180
180-35= 145
<3 = 145 degrees
You did awesome! Amazing job!
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