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The non food product is gelatin . Can you Explain the new features of the newly developed product ?


Q4. Convert the following linear programming problem into dual problem. Maximise Z = 22x1 + 25x2 +19x3 Subject to: 18x1 + 26x2 + 22x3 ≤ 350 14x1 + 18x2 + 20x3 ≥180 17x1 + 19x2 + 18x3 = 205 x1, x2, x3 ≥ 0 Q5. A work shop contains four persons available for work on the four jobs. Only one person can work on any one job. The following table shows the cost of assigning each person to each job. The objective is to assign person to jobs such that the total assignment cost is a minimum. Jobs 1 2 3 4 A 20 25 22 28 Persons B 15 18 23 17 C 19 17 21 24 D 25 23 24 24


Q3. Consider the following product mix problem: Three machine shops A, B, C produces three types of products X, Y, Z respectively. Each product involves operation of each of the machine shops. The time required for each operation on various products is given as follows: Machine shops Products A B C Profit per unit X 10 7 2 Birr 12 Y 2 3 4 Birr 3 Z 1 2 1 Birr 1 Available Hours 100 77 80 Make the Mathematical model of the above primal problem to maximise the profit and then make the dual problem.


2g of NaOH is dissolved in 500dm³ of solvent.what is the molar concentration of the solution?

The average preschool cost for tuition fees last year was 17,250. The following year, 20 institutions had a mean of 16,150 and a standard deviation of 2,250 is there sufficient evidence at =0.10 level of significance to conclude that the mean cost has increased?


If 40.0dmcube of nitrogen is collected over water of 22 °c when atmospheric pressure Is 727 Torr,what is the volume of dry nitrogen at standard temperature and pressure, assuming ideal behavior?


The population in country C decreases, due to a lower birth rate. At the same time, there is an increase in the cost of fertilizer, which is used to grow vegetables. Explain how the market for vegetables will be affected by these changes. Clearly indicate how the equilibrium price and equilibrium quantity will be affected by these changes. Make use of a combination of diagrams and verbal explanation to explain your answer. Note that your diagrams should be properly annotated and that marks will be deducted for any missing labels on your diagram.



The population in country C decreases, due to a lower birth rate. At the same time, there is an increase in the cost of fertilizer, which is used to grow vegetables. Explain how the market for vegetables will be affected by these changes. Clearly indicate how the equilibrium price and equilibrium quantity will be affected by these changes. Make use of a combination of diagrams and verbal explanation to explain your answer. Note that your diagrams should be properly annotated and that marks will be deducted for any missing labels on your diagram.





Phineas is pushing a 11.13-kg box of tools with a force of 47 N directed at an angle of 83° downward from the horizontal. How fast is the cart going after the acceleration from rest if their backyard is 77 cm away from the garage?


The heating element in a hair dryer is rated at 5kW and 220V . How much current does it draw?

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