The maker of a motion-sensing towel dispenser is considering adding new products to enhance offerings in the area of touchless technology. If the company does not expand its product line now, it will definitely do so in 2 years. Assume the interest rate is 10% per year. The amount the company can afford to spend now if the cost 2 years from now is estimated to be $100,000 is closest to: (a) $75,130 (b) $82,640 (c) $91,000 (d) $93,280

The pulley below has a mechanical advantage of 3 and has a load of 300N assume an ideal pulley without friction losses, determine the following: a) what input force (input) do you apply to lift the load of 300 N? B) what is the tension in the 3 lines of the ropes of the pulley on the output side with the load as illustrated in the diagram? C) if the load is lifted to a height of 12 cm, how much rope is pulled on the input side d (in) in the diagram? D) how much work in joules (j) is required to lift the 300 N load 12 cm (0.12m)? E) how much power in watts (w) is required to lift the 300N load a distance of 0.12m in 20 seconds.

C. List products or services that do not exist, but you would like to see made available. 1. 2. 5. 3. 4.

In a factory, the direct cost is also called variable cost because: O It is connected with the production It is changed according to the supply and demand O All of the choices O None of the choices O It is connected with fixed cost

Formulate a linear program for this problem. 1) A clothing factory can make three shoe types: A,B, and C. Their profits per shoe are, respectively, $5, $4, and $3. Type A shoes require 4 pieces of leather, and 1 piece of cloth; type B shoes require 3 pieces of leather, and 2 pieces of cloth; type C shoes require 5 pieces of cloth. The factory has 10,000 pieces of leather and 50,000 pieces of cloth available. Furthermore, the factory must produce at least 500 units of each type of shoe.