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PlantsModel 1Model 2Model 3
Plant 1848
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The total demand for Model 1, Model 2 and Model 3 are 3000 units, 1720 units and 2495 units. Moreover, the daily operating cost of plant 1 is
Determine the terms (a) and (b) given to you in the “table 1 “of an arithmetic series 2,7,12,17,…..
1.2 Determine the given term in the table 1 of the geometric series 3,6,12,24,…
Table 1.
Student
Term number of question 1.1
(a )and (b) terms
Term number of question 1.2
1
7,14
11
2
15,20
12
3
8 ,16
13
4
6,17
14
5
10,15
15
6
8,21
16
7
7,20
17
8
11,20
18
9
12,21
19
10
13,22
21
11
14,19
22
12
13.19
23
13
12,17
24
14
15,23
25
15
16,25
6
16
8,19
7
17
12,19
8
18
23,33
9
19
25,39
10
20
18,21
11
21
17,20
12
22
11,20
13
23
15,21
14
24
17,24
15
25
15,25
16
26
8 ,16
17
27
16,27
18
28
13,35
19
29
18,41
20
30
17,24
21
How do I put the results of the commands under itself? plz
a) an edge between vertices representing cities that have a flight between them (in either direction).
b) an edge between vertices representing cities for each flight that operates between them (in either direction).
c) an edge between vertices representing cities for each flight that operates between them (in either direction), plus a loop for a special sightseeing trip that takes off and lands in Miami.
2. a, b, c
2. What kind of graph (from Table 1) can be used to model
a highway system between major cities where
a) there is an edge between the vertices representing cities if there is an interstate highway between them?
b) there is an edge between the vertices representing cities for each interstate highway between them?
c) there is an edge between the vertices representing cities for each interstate highway between them, and there is a loop at the vertex representing a city if there is an interstate highway that circles this city?
Solve the following linear programming graphically [5] Minimize: 𝑧 = 200𝑥 + 500𝑦 Subject to the constraints: 𝑥 + 2𝑦 ≥ 10 3𝑥 + 4𝑦 ≤ 24 𝑥 ≥ 0; 𝑦 ≥
Mathematical Logic
Consider the following statements and convert symbolic forms to words.
𝑚: Mark plays volleyball.
𝑛: Nicole plays basketball.
Symbolic/Logic Form: m ∨ n
Sentence Form (in words):
Symbolic/Logic Form: ~ n
Sentence Form (in words):
Symbolic/Logic Form: m → n
Sentence Form (in words):
Symbolic/Logic Form: m ∨ ~n
Sentence Form (in words):
Symbolic/Logic Form: m ∨ (~n → m)
Sentence Form (in words):
Mathematical Logic
Consider the following statements and convert to symbolic form accordingly.
𝑝: Paul is happy
𝑞: Lisa is happy
𝑟: Paul plays the guitar
Sentence Form: Paul is happy.
Symbolic/Logic Form:
Sentence Form: Lisa is not happy.
Symbolic/Logic Form:
Sentence Form: Paul and Lisa are happy.
Symbolic/Logic Form:
Sentence Form: Either Paul or Lisa is happy.
Symbolic/Logic Form:
Sentence Form: If Paul is happy, then he plays the guitar.
Symbolic/Logic Form:
Write the converse, inverse and contrapositive of the given statements. Then, determine if the original statement is true or false.
1.) If yesterday is Wednesday, then tomorrow is Friday.
Converse:
Inverse:
Contrapositive:
True or False:
2.) If a quadrilateral is not a rectangle, then it is not a square.
Converse:
Inverse:
Contrapositive:
True or False:
Liala and Vinay both have to travel to various locations for advertising their company's products. The company reimburses their expenses such as accommodation, food etc. The company also blacklists an employee whenever the employee's expenditure in a given month exceeds ₹ 12000. The accounts department fits the data of monthly expenditure to the polynomial E_l(x) and E_v(x) (in ₹ ) for Liala and Vinay respectively, where x is the number of months since they joined the company (i.e., x = 1 represents the completion of one month). The polynomial fit is known to be applicable for a period of 35 months (i.e., x≤35). If E_l(x) - 12,000 = b(x-5.3)(x-11)(x-24), ~b>0 and E_v(x) - 12,000 = a(x-2.5)^2(x-5.3)(x-22), ~a>0. If Vinay and Liala have been blacklisted together for at least N times in 35 months, then find the value of N.
Liala and Vinay both have to travel to various locations for advertising their company's products. The company reimburses their expenses such as accommodation, food etc. The company also blacklists an employee whenever the employee's expenditure in a given month exceeds ₹ 12000. The accounts department fits the data of monthly expenditure to the polynomial E_l(x)
and E_v(x) (in ₹ ) for Liala and Vinay respectively, where x
is the number of months since they joined the company (i.e., x = 1 represents the completion of one month). The polynomial fit is known to be applicable for a period of 34 months (i.e. x≤34). If E_l(x) - 12,000 = b(x-5.0)(x-11)(x-24), ~b>0 and E_v(x) - 12,000 = a(x-2.2)^2(x-5.0)(x-25), ~a>0. If Vinay and Liala have been blacklisted together for atleast N times in 34 months, then find the value of N
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#340153 on Dec 2023