suppose a chef ices and decorates cupcakes in bathes of $100.$ each batch requires $40$ minutes to setup the equipment, and each cupcake in the batch takes $1\mathrm{.}25$ minutes to process. each unit in the batch must wait for the wntire batch to be processed before moving on to packaging. what is the throughput capacity $($in cupcakes and$/$or minutes$)$ of the icing stage?