2026 YTSS P2 Q10

As a director of a medical logistics company, you are evaluating different methods of transporting emergency medical supplies from station A during adverse weather conditions. The emergency supplies must reach station C within 1 hour of dispatch.

Three stations \(A,B\) and \(C\) are located at sea. Station \(B\) is due east of station \(A\). The bearing of \(C\) from \(A\) is \(065^\circ\). The bearing of \(C\) from \(B\) is \(020^\circ\). Distance between \(A\) and \(B\) is 17.6 km.

A drone travels directly from \(A\) to \(C\). A speedboat travels from \(A\) to \(B\), then from \(B\) to \(C\).

A helicopter may also be used if weather conditions permit.

1. Calculate the direct distance \(AC\) travelled by the drone.
   Give your answer correct to 5 significant figures.[3]

The company collected the following operational data during a trial run.

The following information is further provided:

• Current visibility fluctuates between 1.3 km and 2.0 km.
• Medical supply is 7.2 kg.
• The drone system will only be approved if BOTH conditions below are satisfied.

Condition 1: The drone must reduce the total delivery time by at least 50% relative to the current speedboat operation.

Condition 2: The operating cost of drone per minute should not exceed the operating cost of the speedboat per minute by \$50.

2. The company may choose either one of the 3 transportation methods. The company wants the fastest transportation method while keeping total operating cost to be below \$2400.
   Determine which transportation method should be selected. You must show all relevant calculations and justify your conclusion clearly (other than the conditions stated above). State one assumption made in your working.[7]