BB Automobile purchase tyres for its automobiles from an outside vendor. However, at the end of the current month, the contract with the vendor for the tyres of vans will expire. The senior management of BB Plc feels that the automobile division of the company should purchase tyres for vans from its own tyre division rather than renewing the contract with the outside vendor. The managers of both the divisions are also interested in having intra-company transactions as it will be in the best interests of both the divisions as well as the company as a whole.

The tyres manufactured by BB Tyres are of standard size. BB Automobile needs 18,500 tyres per month to manufacture vans. The quality of the tyres supplied by the outside vendor and the ones manufactured by BB Tyres are similar. BB Automobile currently pays $75.00 to the outside vendor for a tyre of van. The Tyres division of BB Plc currently sells the tyres to its existing customers at $78.00 each. The production capacity of the division is 55,000 van tyres per month. The variable cost to produce one van tyre is $40.00. The fixed cost incurred in the manufacture of van tyres is $105,000 per month.

1.a. BB Automobile proposes to buy van tyres at $50.00 each from BB Tyres. Determine the acceptable range of transfer price if BB Tyres sells 47,500 van tyres to its external customers per month. (Round your answer to 2 decimal places.)

Will the management of BB Tyres accept the proposal?

2.If BB Tyres' monthly sales is 55,000 van tyres, would transfer take place?

Why or why not?