You have designed a machine which will meet all criteria specified in your brief. You are given $50,000 to build the prototype. When budgeting the money, you are left with $12,000 for relays which cost $2,500 per case of 12. You need 49 relays, but they cannot be purchased separately. Using dimensional analysis, explain if you have enough money to complete the prototype. (Show work if possible)

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?