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A firm makes 2 products X &Y and has a total production capacity of 9 tons per day, X & Y require the same production capacity. The firm has a permanent contract to supply atleast 2 tons of X and atleast 3 tons of Y per day to another company. Each ton of X requires 20 machine hours and each ton of Y requires 15 machine hours. The daily maximum possible number of machines hours is 360. All the firm's output can be sold and the profit made is Rs 80 per ton of X and Rs 120 per ton of Y. Find out the optimum mix using graphical method.
Assume that a particle is at the location L = (2, 3) and is moving with the velocity V = (1, -2). Assume that there is a mirror that connects the point P1 = (4, 0) to the point P1 = (0, 3). How fast the particle and its image on the mirror are gett..
A motorboat travels 290 km in 5 hours going upstream. It travels 430 going downstream in the same amount of time.
Let (P) denote the LP problem in SEF, let x be an optimal solution for (P) and y be an optimal solution for its dual (D). Let (P') denote the problem obtained from (P) by adding 5 times its first constraint to its second constraint, and let (D') be t..
what is the magnitude of the friction force opposing the motion of the block?
on what sum of money will compound interest 2 years be same as simple interest on rupees 9430 for 10 years both at rate
Find the value of c in [1, 9] such that h(c) is the average value of h(t) = 1/t on [1, 9]. Find the average temperature during the period from 6 AM to 9 AM.
How to prove: P is a polynomial with dimension of m, the dimension of the solution space of P(E)x=0 has to be m? It's a problem (Please prove 1.3.2 and 1.3.3) in Numerical Analysis: Mathematics of Scientific Computing (3rd edition). Need the answer t..
Formulate a nonlinear program representing the profit maximization problem for the bakery. What is the equation associated with the constraint regarding the amount of time available for baking?
How many solutions do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? How does a solution set of a system of equations differ from that of a system of inequalities?
At a sand and gravel plant, sand is falling off a conveyor belt and onto a conical pile at the rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude
How much heat (in kJ) is absorbed by a 500. g sample of water when it is heated from 44.0°C to 67.0°C? The specific heat capacity of water is 4.184 J/g°C.
What is the Margin of error for the 90% (large-sample) confidence interval for p1-p2?Note: We do not do plus-four confidence intervals.
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