Question Myers Business Systems is evaluating the introduction of a new product. The possible levels of unit sales and the probabilities of their occurrence are given next: Possible Market Reaction Sales in Units Probabilities Low response 35 0.20 Moderate response 45 0.20 High response 60 0.30 Very high response 80 0.30 a. What is the expected value of unit sales for the new product? (Do not round intermediate calculations and round your answer to the nearest whole unit.) b. What is the standard deviation of unit sales? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  2.34.   The input-output pair shown in Figure P2.34-1is given for a stable LTI system.     x0[n]                                                             2             Yo[n]   lJ 12 J1                                                                          1 •              •   • -2 -1 -1  0      1              n                                 -3        0      1    2               n -1 -2 Figure P2.34-1 (a)    Determine the response to the input x1[n] in Figure P2.34-2.     0  1  2  3  4  5     6  7  8       Figure P2.34·2     (b)  Determine the impulse response of  the  system.    

Problems #5: A cylindrical riser with diameter-to-length ratio = 1.0 is to be designed for a sand casting mold. The casting geometry is illustrated in Figure below, in which the units are inches. If the mold constant in Chvorinov's rule = 19.5 min/in?, determine the dimensions of the riser so that the riser will take 0.5 min longer to freeze than the casting itself. 142.54 1.5 -6.04 1.5 3.0 1.0 3.0 2.5 radius 5.0 15.0

Part 3: 1) A spring with a constant of 76 N/m is extended by 0.9 m. How much energy is stored in the extended spring? 2) A toy rocket-launcher contains a spring with a spring constant of 35 N/m. How much must the spring be compressed to store 1.5 J of energy? 3) A box is connected to a spring is extended to 200mm, and it stored 3578J of energy. Find the force.

The SP Corporation makes 41,000 motors to be used in the production of its sewing machines. The average cost per motor at this level of activity is: Direct materials Direct labor $ 10.00 $9.00 $ 3.70 $ 4.65 Variable manufacturing overhead Fixed manufacturing overhead An outside supplier recently began producing a comparable motor that could be used in the The SP Corporation makes 41,000 motors to be used in the production of its sewing machines. The average cost per motor at this level of activity is: Direct materials Direct labor $ 10.00 $9.00 $ 3.70 $ 4.65 Variable manufacturing overhead Fixed manufacturing overhead An outside supplier recently began producing a comparable motor that could be used in the sewing machine. The price offered to SP Corporation for this motor is $25.45. If SP Corporation decides not to make the motors, there would be no other use for the production facilities and none of the fixed manufacturing overhead cost could be avoided. Direct labor is a variable cost in this company. The annual financial advantage (disadvantage) for the company as a result of making the motors rather than buying them from the outside supplier would be: (2.5%) 1) $112,750 2) $264,450 3) $190,650 4) ($77,900)

Find the equation of the plane that passes through the point (2, 1,2) and is tangent to the surface x² + 4y + 3z? = 20 at (2, 1,2). Write it in the form indicated below. Equation: 4(x – 2)+ (y- (z- )= 0

Find the equation of the plane tangent to apy2 + 2-9= 0 at x = 1, y = 2. The equation of the plane is