Problem 7: Three forces are acting on the origin as shown. Determine the resultant force as a Cartesian vector. F₁ = 60 lb 40° 4 52° 20° 30° 40° x 100° FB = 30 lb StaticView Augmented-Reality-Enabled Fc=25 lb

apply appropriate techniques to solve a range of models of mathematical and real-world problems analyse the effects of changing model parameters on LP model predictions * select and develop appropriate mathematical models for decision making problems (a) A stationary supplies company wishes to produce deluxe and budget ink pens. Deluxe ink pens require eight units of material and 9 minutes to produce each pen. Budget ink pens require six units of material and 4 minutes to produce each pen. The company has 38.25 hours of labour and 1950 units of material available per week. Profit for deluxe ink pens is $2.40 per pen and for budget ink pens is $1.75 per pen. The company also wants the number of deluxe ink pens to be produced to be at least 6 times the number of budget ink pens produced. Formulate a Linear Programming problem to determine the company's best production plan to maximise profit (do not solve). (b) Solve the following Linear Programming problem using the Simplex Method. Full…

the coefficient

1,

Use the minimax regret and Hurwics (α=0.8) to assist Susan with her decision

A manager uses this equation to predict demand for landscaping services: Ft  = 14 + 4t. Over the past eight periods, demand has been as follows:  Period, t: 1 2 3 4 5 6 7 8 Demand: 20 25 25 35 35 40 45 50     Compute the tracking signals for Periods 1-8. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.) Period t  Tracking Signal 1 2 3 4 5 6 7 8

Y9

UNIVERSITY OF BURAIMI Q4: Rubber can be added to asphalt to reduce road noise when the material is used as pavement. Table shows the stabilized viscosity (cP) of 15 specimens of asphalt paving material. To be suitable for the intended pavement application, the mean stabilized viscosity should be equal to 3200 Test this hypothesis a = 0.05 using Based on experience we are willing to initially assume that stabilized viscosity is normally distributed. Specimen Stabilized Viscosity Specimen Stabilized Viscosity 1 3193 9. 3182 3124 10 3227 3153 11 3256 4 3145 12 3332 3093 13 3204 6. 3466 14 3282 3355 15 3170 8 2979

Please solve this problem

No probabilities are known for the occurrence of the nature states. Compare the solutions obtained by each of the following criteria:  Maximin (Minimax)