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Mansi Mittal

Mansi M.

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A roast turkey is taken from an oven when its temperature has reached $ 185^{\circ}F $ and is placed on a table in a room where the temperature is $ 75^{\circ}F $. The graph shows how the temperature of the turkey decreases and eventually approaches room temperature. By measuring the slope of the tangent, estimate the rate of change of the temperature after an hour.

A roast turkey is taken from an oven when its temperature has reached $ 185^{\circ}F $ and is placed on a table in a room where the temperature is $ 75^{\circ}F $. The graph shows how the temperature of the turkey decreases and eventually approaches room temperature. By measuring the slope of the tangent, estimate the rate of change of the temperature after an hour.

Calculus: Early Transcendentals

Limits and Derivatives

Derivatives and Rates of Change

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INSTANT ANSWER

11:03 Subject: Operations Research (Assignment) Course: M.com (Semester 2) Max Marks: 10 1) A firm uses three machines in the manufacturing of three products. Each unit of Product A requires 3 hours on machine I, 2 hours on machine II and 1 hour on machine III respectively. Each unit of product B requires 4 hours on machine I, 1 hour on machine II and 3 hours on machine III, while each unit of product \( \mathrm{C} \) requires 2 hours on each of the three machines. The contribution margin of the three products is Rs 30, Rs 40, Rs 35 per unit respectively. The machine hours available on three machines are 90, 54 and 93 respectively. I. Formulate the above problem as a linear programming problem. II. Obtain optimal solution to the problem by using the simplex method. Which of the three products shall not by produced by the firm? Why? III. Calculate the percentage of capacity utilization in the optimal solution. IV. What are the shadow prices of the machine hours? V. Is the optimal solution degenerate? (5 Marks) 2) What is 'game' in game theory? What are the properties of a game? Explain the "best strategy" on the basis of minimax criterion of optimality. (5 Marks)

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INSTANT ANSWER

An analyst kept track of the daily price quotation for a given stock. The frequency data led to the following probability distribution of daily stock price. Price(X)- 17, 17.125, 17.25 ,17.375, 17.5, 17.625 ,17.75 ,17.875,18,18.125,18.25 . probability P(x)-0.05,0.05, 0.10 ,0.15, 0.20, 0.15, 0.10, 0.05 ,0.05, 0.05 ,0.05 (a) If 100 shares are bought today at 17.25 & must be sold tomorrow, by prearranged order, what is the expected profit,disregarding the transaction costs?

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