There are three components of a new electric transportation device that is currently being developed, i) body, ii) engine and iii) battery. For each component, there are three design options to choose from. Carbonfiber, Aluminium, Steel for the body, and three power levels for the DC motor (30kW, 35kW and 40kW) for the engine, and three different chemistries to use for the batteries (Cobalt, Manganese, Phosphate). Any failure of any component would cause a device failure and the designers aim to minimise the probability of that within their limited design budgets. The body options have 2 in 1000, 3 in 1000, 1 in 1000 failure rates, and would cost $211, $119 and $310 respectively for Carbonfiber, Aluminium, and Steel. Engines cost $299, $389 and $195, and have failure rates of 3 in 1000, 2 in 1000, and 4 in 1000, respectively for 30kW, 35kW and 40kW options. Cobalt, Manganese and Phosphate batteries have the failure rates of 3 in 1000, 5 in 1000, and 4 in 1000, and cost $282, $164, and $195 respectively. With a budget of $600, how much of the budget needs to be spent to minimise the risk of failure of this new device.