A plane is to be loaded with bottles of water and medical supplies to be sent to victims of an earthquake. Each bottle of water
serves 10 people and each medical kit aids six people. The goal is to maximize z, the total number of people helped, where z = 10x + 6y, and x is the number of bottles and y is the number of medical kits. Using the constraints of the situation (plane weight and volume capacities) the shaded region is in the graph is obtained. Which vertex of the region represents the solution to the maximization problem?
2 answers:
Answer:
The vertex that maximize the problem is (2,000,4,000)
Step-by-step explanation:
we have
The vertex of the shaded region are
A(0,0), B(4,000,0),C(2,000,4,000), D(0,6,000)
Substitute the value of x and the value of y of each vertex in the z equation to find the solution
case A) A(0,0)
case B) B(4,000,0)
case C) C(2,000,4,000)
case D) D(0,6,000)
therefore
The vertex that maximize the problem is (2,000,4,000)
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Answer:
= Irrational
6 = Natural, Whole, Integer, Rational
= Rational
-2 = Integers, Rational
Explanation:
See attached photo! (it is hard to explain in words haha)
Side note: All natural numbers are rational numbers, but not all rational numbers are natural numbers (this applies differently to all sections, like all integers are whole, but not all whole are integers, etc)
Side note #2: Whole numbers are just natural numbers AND zero
Hope this is correct (or at least helps), have a nice day! :D
Answer:
<em>4 miles. </em>
<em> </em><em>Step</em><em> </em><em>by</em><em> </em><em>step</em><em> </em><em>explana</em><em>tion</em>
1. 
2. -2+5n or 5n-2
3. (12s)+150 where s=number of students
4. 3(32)+1(53)=96+53=159 per hour, so 159h
9. √105 is irrational, -4 is an integer, 4/3 is a rational number, order is -4,3/4, √105
10. 3²=9, 4²=16, so between 3 and 4, but closer to 4, so √14≈4
11. that is the associative property, it deals with moving parentahees around
12. 2(6.25)+1(5.50)+2(2.75)=2(6.25+2.75)+1(5.50)=2(9)+5.5=18+5.5=23.5
13. yes, because they are both 2 less than 3 times of a number
14. maybe 18 times 3, so (4²+2) times 3=54
2. -2+5n or 5n-2
3. (12s)+150 where s=number of students
4. 3(32)+1(53)=96+53=159 per hour, so 159h
9. √105 is irrational, -4 is an integer, 4/3 is a rational number, order is -4,3/4, √105
10. 3²=9, 4²=16, so between 3 and 4, but closer to 4, so √14≈4
11. that is the associative property, it deals with moving parentahees around
12. 2(6.25)+1(5.50)+2(2.75)=2(6.25+2.75)+1(5.50)=2(9)+5.5=18+5.5=23.5
13. yes, because they are both 2 less than 3 times of a number
14. maybe 18 times 3, so (4²+2) times 3=54