HELP ME PLEASE! 30 POINTS

Mathematics

2 answers:

bazaltina [42]3 years ago

8 0

Answer:

C=14

Step-by-step explanation:

To find the minimum value, graph each of the inequalities. After graphing each inequality, test a point and shade the region that satisfies the inequality. Once all inequalities have been shaded, find the region where they all overlap. The region will be bounded by intersection points. Test each of these points into C=x+3y. The least value for C is the minimum.

(14,0) (0,17.5) (3.08,3.64)

C=14+3(0) C=0+3(17.5) C=3.08 + 3(3.64)

C=14 C=52.5 C=14

ANEK [815]3 years ago

3 0

Hello there,

Answer: C=14

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Solution:

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

$cost \propto \text{ number of employees attending picnic }$

$c \propto n\\\\c = kn$

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

Given that company picnic costs $487.50 for 30 employees

Therefore substitute c = 487.50 and n = 30

$487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25$

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Substitute n = 80 and k = 16.25 in eqn 1

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