A company combines two items A and B from gift packs during a festival season. Each pack must weight atleast 5 kg and should contain atelast 2 kg of A and not more than 4 kg of B. The net contribution of the company is Rs. 10 per kg of A and Rs 12 per kg of B. the company wants to determine the optimum mix. By defining suitable variables, write
i. the objective function
ii. The constraints

A company produes two types of cricket ball A and B. the production time of one ball of type B is double the type A (Time in units) . The company has a time to produce a maximum 2000 balls per day. The supply of raw material is sufficient for the production of 1500 balls (both A and B) per day. the company wants to make maximum profit by making profit fo Rs 3 from a ball of tye A and Rs. 5 from a ball of type b. Then (i) By defining suitable variables, write the objective function. (ii) Write the constraints. (iii) How many balls should be produced in each type per day in order to get maximum profit ?

Find the weight of a man whose mass is 50 kg.

Find the moment of inertia of a mass of 5 kg and another mass 10 kg about an axis of rotation which is 0.2 m from the 5 kg mass and 0.4 m from the 10 kg mass. Find the radius of gyration for the system.

Two point masses 3 kg and 5 kg are at 4 m and 8 m from the origin on X-axis. Locate the position of center of mass of the two point masses (from the origin and (1) from 3 kg mass.