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To grow a certain vegetable crop, a farmer needs to ensure that there is a sufficient concentration of the macro-nutrients nitrogen, phosphorus and potassium in her soil. To achieve this she will apply two types of fertiliser to her soil, Fertiliser 1 and Fertiliser 2. She needs to have at least 36 units of nitrogen, at least 20 units of phosphorus and no more than 28 units of potassium present in the fertiliser that she applies to her soil. The composition of macro-nutrients in each of the two types of fertilisers is described in the following table.
Fertiliser 1 Fertiliser 2
Nitrogen (units/kg) 9 2
Phosphorus (units/kg) 2 6
Potassium (units/kg) 4 5
Fertiliser 1 costs $20/kg while Fertiliser 2 costs $15/kg. The farmer wants to know how many bags of each type of fertiliser should be used to minimise the cost.
Formulate the problem above as an optimisation problem, don't solve it.
use the fx lim h-0 fx h - fxh to find fx. b- find the domain of f. c find and equation of the tangent line to the
f(x)= the square root of x^2+1 and [0,4] . Use the midpoint rule with 4 rectangles to approximate the area bounded by f(x) and the x axis.
quantitative tools amp techniques are basically important for improving the qualit of managerial decisions.examine the
A rectangular carpet has a perimeter of 218 inches. The length of the carpet is 87 inches more than the width. What are the dimensions of the carpet?
Determine whether the series is convergent or divergent.
1. Let V be a real vector space. We know that V has an additive identity, called 0. Suppose there is a vector u ∈ V with the property that u+v=vforeveryv∈V. Showthatu=0. (Thisshowsthatarealvector space can only have one additive identity.)
Unknown to public health officials, a person with a highly contagious disease enters the population. During each period he either infects a new person which occurs with probability p, or his symptoms appear and he is discovered by public health offic..
What is the present value of a perpetuity of $900 payable at the end of each quarter if money is worth 18% compounded quarterly?
Find a function that relates dollars to Euros.
What is the probability that the rat will turn left on the second trial?
apply Newton's method to f(x)= the tired norm of x using unit step size. show that it is linearly convergent. Why does quadratic convergence not occur?
a fast food restaurant wants a special container to hold coffee. the restautrant wishes the container to quickly cool the coffee from 200 degrees to 130 degrees fahrenheit and keep the liquid between 110 degrees and 130 degrees as long as possible..
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