Given the following demand data,

a$.$ Compute a weighted average forecast using a weight of $0\mathrm{.}4$ for the most recent period, $0\mathrm{.}3$ for the next most recent, $0\mathrm{.}2$ for the

next, and $0\mathrm{.}1$ for the next. $($Round all your answers to two decimal points.$)$

Forecast Period $5$A store estimates their holding costs at $26\%$ and incurs a fixed cost of $$70\mathrm{.}00$ for each order. Demand for an item is $2,025$ units per

year. A supplier offers a price of $$10\mathrm{.}00$ each for quantities of $345$ or fewer and a price of $$9\mathrm{.}50$ for quantities over $345$ units.

Round your answer to the nearest integer value.

How many units should the retailer order at one time?

units

What is the total annual cost at this order point?

Forecast Period $6$

b$.$ If the actual demand for period $6$ is $61,$ forecast demand for period $7$ using the same weights as in part $a.$