
Concept explainers
Explanation of Solution
Finding optimal solution:
The demand for sail boats during each of the next four quarters is;
First quarter-40 sailboats
Second quarter-60 sailboats
Third quarter- 75 sailboats
Fourth quarter- 25 sailboats
An inventory of 10 sailboats is at the beginning of the first quarter. Also, it is assumed that sailboats manufactured during a quarter can be used to meet demand for that quarter.
Also, during each quarter, Sailco can produce up to 40 sailboats with total cost of $400 per sailboat.
Additional sailboats with overtime labor can be produced at a total cost of $450 per sailboat.
A carrying cost of $20 per sailboat is incurred at the end of each quarter. A production schedule to minimize the sum of production and inventory costs during the next four quarters using linear
Let,
Sailco’s total cost can be determined as follows.
Since the total cost to be minimized, the objective function of Sailco is given below,
Minimize,
The constraints are given below,
For each period’s regular time production will not exceed 40. So the below given constraints are obtained.
Also suppose that,
This means,
When submitting the values, the following constraints are obtained.
Also,

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Chapter 4 Solutions
Operations Research : Applications and Algorithms
- using r language for integration theta = integral 0 to infinity (x^4)*e^(-x^2)/2 dx (1) use the density function of standard normal distribution N(0,1) f(x) = 1/sqrt(2pi) * e^(-x^2)/2 -infinity <x<infinity as importance function and obtain an estimate theta 1 for theta set m=100 for the estimate whatt is the estimate theta 1? (2)use the density function of gamma (r=5 λ=1/2)distribution f(x)=λ^r/Γ(r) x^(r-1)e^(-λx) x>=0 as importance function and obtain an estimate theta 2 for theta set m=1000 fir the estimate what is the estimate theta2? (3) use simulation (repeat 1000 times) to estimate the variance of the estimates theta1 and theta 2 which one has smaller variance?arrow_forwardusing r language A continuous random variable X has density function f(x)=1/56(3x^2+4x^3+5x^4).0<=x<=2 (1) secify the density g of the random variable Y you find for the acceptance rejection method. (2) what is the value of c you choose to use for the acceptance rejection method (3) use the acceptance rejection method to generate a random sample of size 1000 from the distribution of X .graph the density histogram of the sample and compare it with the density function f(x)arrow_forwardusing r language a continuous random variable X has density function f(x)=1/4x^3e^-(pi/2)^4,x>=0 derive the probability inverse transformation F^(-1)x where F(x) is the cdf of the random variable Xarrow_forward
- using r language in an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. in such a test involving two types of microships 600 chips manufactured by an existing process were tested and 125 of them failed then 800 chips manufactured by a new process were tested and 130 of them failed what is the 90%confidence interval for the difference between the proportions of failure for chips manufactured by two processes? using r languagearrow_forwardI want a picture of the tools and the pictures used Cisco Packet Tracer Smart Home Automation:o Connect a temperature sensor and a fan to a home gateway.o Configure the home gateway so that the fan is activated when the temperature exceedsa set threshold (e.g., 30°C).2. WiFi Network Configuration:o Set up a wireless LAN with a unique SSID.o Enable WPA2 encryption to secure the WiFi network.o Implement MAC address filtering to allow only specific clients to connect.3. WLC Configuration:o Deploy at least two wireless access points connected to a Wireless LAN Controller(WLC).o Configure the WLC to manage the APs, broadcast the configured SSID, and applyconsistent security settings across all APs.arrow_forwardA. What will be printed executing the code above?B. What is the simplest way to set a variable of the class Full_Date to January 26 2020?C. Are there any empty constructors in this class Full_Date?a. If there is(are) in which code line(s)?b. If there is not, how would an empty constructor be? (create the code lines for it)D. Can the command std::cout << d1.m << std::endl; be included after line 28 withoutcausing an error?a. If it can, what will be printed?b. If it cannot, how could this command be fixed?arrow_forward
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- Considering the CFG described below, answer the following questions. Σ = {a, b} • NT = {S} Productions: P1 S⇒aSa P2 P3 SbSb S⇒ a P4 S⇒ b A. List one sequence of productions that can accept the word abaaaba; B. Give three 5-letter words that can be accepted by this CFG; C. Create a Pushdown automaton capable of accepting the language accepted by this CFG.arrow_forwardGiven the FSA below, answer the following questions. b 1 3 a a b b с 2 A. Write a RegEx that is equivalent to this FSA as it is; B. Write a RegEx that is equivalent to this FSA removing the states and edges corresponding to the letter c. Note: To both items feel free to use any method you want, including analyzing which words are accepted by the FSA, to generate your RegEx.arrow_forward3) Finite State Automata Given the FSA below, answer the following questions. a b a b 0 1 2 b b 3 A. Give three 4-letter words that can be accepted by this FSA; B. Give three 4-letter words that cannot be accepted by this FSA; C. How could you describe the words accepted by this FSA? D. Is this FSA deterministic or non-deterministic?arrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
