1. The author is informing people about the benefits of regular exercising.
2.Good sportsmanship gives advantages
3.Social Interaction can boost your mood.
4.Quick reactions help you defeat opponents.
5.Sports may be competitive but they teach you valuable life lessons.
1)A) Minimize C = 40x + 100y.
2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.
Step-by-step explanation:
1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:
minimize cost = cost of energize pill + cost of excel pill
Minimize cost = 40x + 100y
2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.
7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:
7x + 8y≤ 190
5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:
5x + 4y ≤ 22
Also assemble time and mechanical time must be greater than 0, hence:
x ≥ 0, y ≥ 0
3) The fieldwork constraint can be represented as:
23x + 15y ≥ 154
The time to be spent at university research center can be represented as:
17x + 25y ≥ 140
Both fieldwork time and time spent at university research center mut be greater than 0, hence:
x ≥ 0, y≥ 0
The cost equation is:
Minimize cost = 295x + 416y
1)A) Minimize C = 40x + 100y.
2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.
Step-by-step explanation:
1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:
minimize cost = cost of energize pill + cost of excel pill
Minimize cost = 40x + 100y
2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.
7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:
7x + 8y≤ 190
5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:
5x + 4y ≤ 22
Also assemble time and mechanical time must be greater than 0, hence:
x ≥ 0, y ≥ 0
3) The fieldwork constraint can be represented as:
23x + 15y ≥ 154
The time to be spent at university research center can be represented as:
17x + 25y ≥ 140
Both fieldwork time and time spent at university research center mut be greater than 0, hence:
x ≥ 0, y≥ 0
The cost equation is:
Minimize cost = 295x + 416y
It's A.
Step-by-step explanation:
I just got it right on my unit test review.
Explanation:
The above article is about the importance of playing sports and about how volleyball is an accessible, easy and very beneficial sport not only for our physical and social health.
Based on this article, the questions above were answered in a cohesive manner, pointing out important points in the article in order to establish a coherent relationship between questions and answers.
(a) A y P(A) = 0.4 (b) y =0.5 (c) ∪ y P(∪) = 0.9 (d) ∩ y P(∩)=0.2
Step-by-step explanation:
A was defined as the event that a potential customer, randomly chosen, buys from outlet 1 in the original problem statement. We know that B denotes the event that a randomly chosen customer buys from outlet 2. So
P() = 0.3, P() = 0.4 and P() = 0.1
(a) P(A) = P() = P() + P() = 0.1 + 0.3 = 0.4
(b) P(B) = P() = P() + P() = 0.1 + 0.4 = 0.5
P( ) = 1-P(B) = 1-0.5 = 0.5
(c) The customer does not buy from outlet 1 is the complement of A, i.e., , and the customer does not buy from outlet 2 is the complement of B, i.e., , so, the customer does not buy from outlet 1 or does not buy from outlet 2 is ∪ and P(∪ ) = P() by De Morgan's laws
P() = 1-P(A∩B)=1-0.1=0.9
(d) The customer does not buy from outlet 1 is the complement of A, and the customer does not buy from outlet 2 is the complement of B, so we have that the statement in (d) is equivalent to ∩ and P( ∩) = P() by De Morgan's laws, and
P() = 1-P(A∪B)=1-[P(A)+P(B)-P(A∩B)]=1-[0.4+0.5-0.1]=1-0.8=0.2
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