Accounting: Objective function and equation

A company has the opportunity to produce 3 products (P1; P2; P3) out of 3 Materials (A1; A2; A3). The estimated margin of the products is: P1= 10$, P2= 6$ and P3= 4$ Please evaluate in which quantity the products have to be produced to show the highest margin possible: Material P1 P2 P3 Available Quantity A1 2 1 6 300ea A2 6 5 1 540ea A3 4 2 4 320ea Questions: A, Establish the objective function and the inequations of this system. Use x1; x2; x3 instead of P1; P2; P3. B, Create the system of equations and out of it a table for usage of the Simplex Method (just the table no evaluation!) C, Evaluate the margin by knowing the result will be 65, 30 and 0.

Optimization problem dealing with a fence and area.

A farmer has 600 feet of fencing with which to enclose a rectangular plot. What is the maximum area he can enclose? Hint: Find a model for the area of the rectangular plot and maximize by completing the square

Formula for a sine curve given the amplitude and either the period, frequency or angular frequency.

(i) In london in 2002, the maximum number of daylight hours in a day was 16.63, and this was recorded in week 25.The minimum number of daylight hours in a day was 7.82, and this was recorded in week 51. The number of daylight hours in a day can be modelled approximately by using a sine function. Use the information given above to find the following values, showing details of your calculations. (a) the amplitude of the function, (b) the period (in weeks) of the function, (c) the vertical displacement of the curve (d) the phase shifdt of the curve (ii) (a) Using your answers to part (i), write down the equation of the curve, defining your variables clearly. (b) Us... click for more

Calculus : Partitions and Riemann Integral

Let f be the function: F(x) 1/4 x=o, x 0

Differentiation

The function g is continuous on the interval [-1,4] and differentiable on ]-1,4[. If g(-1)=1 and -2<=g'(x)<=3 for xE]-1,4[, use the Mean Value Teorem to prove that -9<=g(4)<=16. (see attachment for full question)