2.1 The current system for allocating budgets for the local depots of a national offi ce-cleaning company gives each depot a fi xed sum of £35,000 plus an extra £500 for each corporate client in the area the depot covers.

(a) Express the budget allocation model as an equation and portray it graphically.

(b) Use your equation from

(a) to work out the budget allocations for the following depots:

(i) Ashford, which has 43 corporate clients

(ii) Byfl eet, which has 29 corporate clients

(iii) Carlton, which has 66 corporate clients

(c) A new accountant at the company head offi ce wants to alter the budget allocation model by reducing the fi xed sum to £20,000 and increasing to £800 the extra for each corporate client.

What changes will these alterations mean for the depots in (b)?