ns of applying nonlinear programming appeared for the first time in the world:Select one:a$.1961$b$.1945$c$.1971$d$.19512-$If you know that at the Bank of Palestine, $3$ employees provide service to customers at a rate of $40$ customers per hour on averagea. $0\mathrm{.}015$ minb. $0\mathrm{.}02$ minutesc. $0\mathrm{.}25$ minutesd. $0\mathrm{.}1$ min$-3$What is the average time expected for customers to wait in line?The probability of having customers in the system was $0\mathrm{.}6$cionDepending on the basic solution table $($the initial solution for the first stage$),$ the final formula for the objective functionshe?R$1$R$2$rX$1$X$2$S$1-1-1-1-1$S$2$R$1$R$2$Fin$-4$The number of winding $($critical$)$ paths is equal to the number of cells containing quantities in the table.Select one:TrueFalse$-5$If you know that at the Bank of Palestine, $3$ employees provide service to customers at a rate of $40$ customers per hour on averageb. $0\mathrm{.}04$ mina. $1\mathrm{.}2$ minutesC. $1\mathrm{.}5$ minutesd. $0\mathrm{.}05$ min$6-$What is the average waiting time for customers expected in the system?The probability of having customers in the system was $0\mathrm{.}6$The goal of Vogel's approximate method and the lowest costs is to reach the best solution, while the northern corner aims to reach the possible solution.Select one:TrueFalseonThe equation of the objective function in the table below is:d$.$ Max Z $=14$ X$1+11$ X$2$c$.$ Min Z $=4$ X$1+3$ X$2$Section $3$The number of hours required to produce one unit$0,10,2$Section $20,40,3$Section $10,30,5$Wind $($dinar$)$ Cost $($dinar$)$Available energyJuicesProductsBy sections$7-$the milkIf the indirect costs of empty cells are positive or zero, this means that the path is feasible to open because allocating any quantity in this cell will lead to reducing the total costs.Select one:TrueFalseD?Od$.0$Based on the data in the table below. $.$ What is the value of idle time for activity?Ob$.8\mathrm{.}5$ActivityDCBAActivitiesPreviousAAa$(2)(2)()8-$In a closed path, we indicate the cost by starting with a negative sign, then positive, then negative, and so on until the end of the path.Select one:TrueFalse$9-$A closed path is useful as a slot because allocating any quantity in the empty cell leads to reducing the total cost if:Select one:a$.$ The indirect cost value is negative.b$.$ The indirect cost value is positive.c$.$ None of the mentioned.d$.$ The indirect cost value is zero$\mathrm{.}10-$What are the final costs?Od$.62900$According to the northwest corner method, based on the table that shows the costs of transporting one unit and the quantities of demand and supplyOb. $57000$the demand$0$:DiD$2$D$3$the offer$11-$If you know that the monthly order volume is $2000$ units and that the purchase price of $100$ units is $15$ shekels, and the cost of preparing $10$b$.2191$ unitsUnit $2000.$dc$.6928$ unitsa. $21909$ unitsOrders are $3,000$ shekels, and the annual holding cost per unit is $20\%.$Based on the above data, what is the economic demand quantityDepending on the basic solution table $($the initial solution for the first stageThe first restriction, according to the standard formula, is:$?$a$.3$X$1+2$X$2-$S$2+$R$2=30$R$2$R$3$R$1$X$1$X$2-1$S$1-1-1-1$S$3-1-1$R$1$R$2$R$3$Thult $(($i$12-$The optimal solution for the corresponding model can be obtained directly from the final optimal solution table for the initial model and vice versaSelect one:TrueFalseService rate represents the number of customers standing in line.Select one:TrueFalseAdding a new constraint can improve the value of the objective function.Select one:TrueFalseestionof$13-$The waiting period is estimated at $4$ weeks, while the economic demand is estimated at half the annual need, and the reserve stock is sufficientOd. $7000$ unitsAn organization needs $1,000$ units per week, knowing that a year is $52$ weeks with a $4-$week maintenance period.b$.4000$ unitsUnit $5000.$ac$.16,000$ unitsBased on this data, what is the minimum inventory?For $3$ months consumption$14-$The work of the Danish engineer Lanchester was about models of waiting lines to alleviate the crisis of receiving phone calls for the residents of the city of Copenhagen.Select one:TrueFalse$15-$What is the best alternative based on the compromise criterion... if you know that $(0\mathrm{.}7=$a$)$The following matrix represents the payoffs of a set of alternativesOd. d$3$Ob$.$ d$1+$d$3$dddAlternativesStates of naturea. d$116-$Inequalities are a mathematical expression whose two sides are separated by one of the following signs, $,,>,<.$Select one:TrueFalse$17-$Which of the following points represents the best solution based on the diagram shown below?....Min Z$=300$x$1+2002$ If you know that the objective function isa. Point C $(0,12)$b$.$ Point E $(2,6).80($point$)18-$Based on the data in the table below, what is the standard deviation of the expected time to complete the project?ActivityADBCActivitiesPreviousAAamfV$319-$What is the valueOd. $-2$Depending on which cells are empty and full in the tableOU$3=$U$2=$U$1=$V$1=$V$2=$V$3$BQuestion $25$Not yet answeredMarked out of $2\mathrm{.}00$Not flaggedFlag questionQuestion textThe transportation problem can be used to solve problems related to resource use and distribution.Select one:TrueFalse