Write the limitations of the Malthusian model of population growth
The Malthusian model of population growth, proposed by Thomas Malthus in the late 18th century, posits that population tends to grow exponentially while resources grow arithmetically, leading to inevitable checks on population growth such as famine, disease, and war. ________ ____ _____ _______ ___ _______ ____ __________.
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In a population of lions, the proportionate death rate is 0.55 per year and the proportionate birth rate is 0.45 per year. Formulate a model of the population. Solve the model and discuss its long term behavior. Also, find the equilibrium point of the model
Consider the pay-off table for two players as given below
(i) Find the saddle point the value of the game.
(ii) Give two equivalent linear programming problems for the above problem.
Suppose the quarterly sales for a particular make of a car in Delhi were 2682, 2462 and 3012, respectively. From the past data prior to these three data points, a straight line was to fit. The value on the line corresponding to the last observed time is 2988 and the slope is 80. Use exponential smoothing based upon the three observations given above to forecast sales for the quarterly period following these observations, using α = β = 0 ⋅ .
Consider the blood flow in an artery following Poiseuille’s law. If the length of the artery is 3 cm, radius is 3 7 10− × cam and driving force is 3 5×10 dynes/cm2 , then using blood viscosity, µ = 0 ⋅ 027 poise, find the
(i) velocity u( y) and the maximum peak velocity of blood, and
(ii) shear stress at the wall of the artery.
Consider the upward motion of a particle under gravity with a velocity of projection u0 and resistance . 2 mkv Show that the velocity V at time t and distance x from the point of projection are related as
The sales of a small factory since 2008 are as follows:
| Year | Sales (in ` lakhs) |
| 2008 | 8 |
| 2009 | 10 |
| 2010 | 9 |
| 2011 | 11 |
| 2012 | 11 |
| 2013 | 12 |
A short run cost function for an entrepreneur is Determine the price at which the entrepreneur cases production in an ideal market. Also, derive the supply function