Please solve the following problems.

Problem$01$:

Use the following product structure tree to develop the MRP plan for components A and B$.$ Finished product $x$ will be shipped $120$ quantities at the start of week $6$ and $90$ quantity at the start the week $7.$ One case of $A(50$ units in one case$)$ is scheduled at week $4,5,6,7$ and One case of $B(30$ units in one case$)$ is scheduled at week $5,6.$ There are $30$ units of A and $10$ units of $B$ now on hand. Lead time for all the components is one week.

Problem$02$:

A firm that produces electric golf carts has just received an order for $220$ carts, which must be ready for delivery at the start of week $9.$ Information concerning the product structure, lead times and quantities on hand is shown in the following table. Use this information to do each of the following:

a$)$ Construct a product structure tree.

b$)$ Develop a material requirement plan that will provide $220$ golf carts by week $9$

assuming lot$-$for$-$lot ordering.