Bene PetitFirst Year Operating Data:$$Single $(1$ serving$)$Dual $(2$ servings$)$Family $(4$ servings$)$TotalCustomer Meals Sold$3,0005,00012,00020,000$Total Customer Servings$3,00010,00048,00061,000$Customer Orders $($Average $=4$ meals per order$)7501,2503,0005,000$Number of Donated Meals $(1$ per customer meal$)3,0005,00012,00020,000$Number of Donated Deliveries $(500$ meals per delivery$)6102440$

Additional information about selling prices, variable costs, and fixed costs is summarized below:

The average sales price for customer meals is $$5$ per serving.

The average direct materials $($ingredients$)$ cost of customer meals is $$1$ per serving.

Direct labor costs average $$0\mathrm{.}75$ per customer meal.

Variable manufacturing overhead costs are applied at a rate equal to $60\%$ of direct labor.

The delivery expense for customer meals is $$2$ per customer order.

The incremental cost of producing the donated meals is $$1\mathrm{.}25$ per meal.

The delivery expense for donated meals is $$125$ per delivery to community partners.

The following fixed costs are allocated to customer meals based on total sales revenue:

Fixed manufacturing overhead costs are $$75,000$ per year.Fixed selling expenses are $$29,000$ per year.Fixed administrative expenses are $$40,000$ per year.

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The athletic director of a local high school has approached Bene Petit with a special offer. The director would like to promote meals to athletes and their families to encourage healthy eating and as a fundraising opportunity. The meals would be delivered directly to the school, where families would pick them up and pay the school directly. The school would then pay Bene Petit. The following additional details are available about the special order:

The athletic director has requested a $40\%$ discount off the normal price for this bulk order. Families who purchase the meals would receive $(1)/(2)$ of the discount and the school would put the other $20\%$ into a fund to support an athlete$$s award banquet.

The fundraiser would run for $3$ months $(12$ weeks$),$ and the director estimates that about $30$ families would order $3$ family$-$size meals per week.

Variable manufacturing costs for a family$-$size meal are $$5\mathrm{.}20$ for a customer meal and $$1\mathrm{.}25$ for a donated meal.

Variable delivery expenses on a normal order are $$2$ per customer order.

Weekly delivery expenses are estimated at $$50$ for this special order.

Bene Petit has the capacity to deliver donated meals without increasing delivery expense to community partners.

Bene Petit has the capacity to fill the order without disrupting normal operations but estimates that at least $5$ of the families are already Bene Petit customers who currently order $4$ family$-$size meals per week.

Even if the special order is not profitable, it could be counted as part of Bene Petit$$s social mission to contribute to the local community.

What is the discounted price $($per meal$)$ for the special order?

How much additional revenue will Bene Petit earn on the $12-$week special order?

How much additional manufacturing cost will Bene Petit incur for the $12-$week special order $($including the additional donated meals$)?$

How much revenue will Bene Petit lose from existing customers who participate in the fundraiser?

How much will Bene Petit save on manufacturing costs from the lost sales to existing customers $($including both the customer meal and the donated meal$)?$

How much will Bene Petit save on delivery expenses from the lost sales to existing customers?

How many additional meals will Bene Petit be able to donate if it accepts the special order?$$

How much incremental profit will Bene Petit earn on the special order?$$Include all the factors above as well as the weekly delivery expenses for the special order.