M 38 65 Triangle KLM is shown. What is the measure of angle M
2 answers:
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Let the number of reserved tickets = x
Let the number of lawn seats = y
Constraint functions:
Maximum capacity means
For concert to be held
means
Objective functions :
Maximum profit equation p = 65x +40y
Intersection points :
(10000,10000) (20000,0)(2500,2500)(5000,0)
p at (10000,10000) = 65(10000) + 40(10000) = $1050000
p at (20000,0) = 65(20000) + 40(0) = $1300000
p at (2500,2500) = 65(2500) + 40(2500) = $262500
p at (5000,0) = 65(5000) + 40(0) = $325000
Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000
Please find attached the graph of it.
Answer:
see explanation
Step-by-step explanation:
Let ∠4 be x then ∠6 is x
∠4 and ∠6 are same side interior angles and are supplementary, thus
x + x = 180
Multiply through by 8 to clear the fraction
8x + x = 1440, that is
9x = 1440 ( divide both sides by 9 )
x = 160
Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°