Problem $3-11($Algo$)$

A manager of a store that sells and installs spas wants to prepare a forecast for January, February, and March of next year. Her forecasts are a combination of trend and seasonality. She uses the following equation to estimate the trend component of monthly demand: $F_t=90+3t,$ where $t=0$ in June of last year. Seasonal relatives are $1\mathrm{.}00$ for January, $96$ for February, and $\mathrm{.}95$ for March. What demands should she predict? $($Round your answers to $2$ decimal places.$)$

$\backslash$table$[[$Month$,$Forecast$],[$January of the next year,$],[$February of the next year,$],[$March of the next year,$]]$