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A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue? [Hint: let vanilla ice-cream = x]
A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue? [Hint: let vanilla ice-cream = x]
Two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue?
For the following LP problem, graph the region of feasible solution and solve by the corner-point method. Maximize z = 5x1 + 8x2 Subject to x1 + x2 ≥ 6 3x1 + 2x2 ≤ 30 2x1 + x2 ≤ 5 x1 , x2 ≥ 0
Check whether the following sets are convex or not: i) S1 = {( x, y)| y - 3 ≤ -(x^2), x ≥ 0, y ≥ 0} ii) S2 = {(x, y)| y - 3 ≥ -(x^2), x ≥ 0, y ≥ 0}
Given the constraints A+B+C<or=24,B+C>or=8and A>or=0,C>or=0. Maximize24-A-B A:amount of time spent on schoolwork B:amount of time spent on fun C: amount of time spent on pay work
Q1. In Zenith Bank, there are five teller points attending to customers for their deposits and withdrawals. The arrival rate is 160 customers in 8 hours. Each teller point spends an uneven amount of time servicing the arrivals which have been observed to have exponential distribution. The average service time is 10 minutes. You are required to determine: a. The average queue length b. Average number of customers in the system Q2. Consider the payoff table below (The payoff in millions of shillings and P S( j ) the probability of state of nature Sj occurring) Action S1 S2 S3 D 20 25 -10 D 30 15 30 D 40 0 50 Recommend the best decision alternative using a) Optimistic approach b) Pessimistic approach
A supermarket organization buys in a particular foodstuff from four suppliers A B,C and D and subjects samples of this to regular tasting tests by expert panels.various characteristics are scored and the total score for the product is recorded. Four tasters a,b,c and d at four sessions obtained the results below. Analayse and comment on these. Taster a Session 1 : A 21 Session 2: B 20 Session 3: C 20 Session 4 : D 32 Taster b Session 1: B 17 Session 2 : D 22 Session 3: A 24 Session 4: C 21 Taster c Session 1: C 18 Session 2: A 23 Session 3: D 22 Session 4: B 22 Tester d Session 1: D 20 Session 2: C 19 Session 3: B 19 Session 4: A 26
3. A farmer plans to mix two types of food to make a mix of low cost feed for the animals in his farm. A bag of food A costs $10 and contains 40 units of proteins, 20 units of minerals and 10 units of vitamins. A bag of food B costs $12 and contains 30 units of proteins, 20 units of minerals and 30 units of vitamins. How many bags of food A and B should the consumed by the animals each day in order to meet the minimum daily requirements of 150 units of proteins, 90 units of minerals and 60 units of vitamins at a minimum cost?
2. A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish.It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110. How many of each type of tables should be produced in order to maximize the total monthly profit?
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