Danny Arkin admired his friend Bobby Carter's success at selling scarves at local crafts shows, so he decided to make two types of plant stands to sell at the shows. Danny makes twig stands out of downed wood from his backyard and the yards of his neighbors, so his variable cost is minimal $($wood screws, glue, and so forth$).$ However, Danny has to purchase wood to make his oak plant stands. His unit prices and costs are as follows:

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The twig stands are more popular, so Danny sells four twig stands for every one oak stand. Bobby charges her friend $$255$ to share her booth at the craft shows $($after all, she has paid the entrance fees$).$ How many of each plant stand does Danny need to sell to break even? Will this affect the number of scarves Bobby needs to sell to break even? Explain.

Danny Arkin admired his friend Bobby Carter's success at selling scarves at local crafts shows, so he decided to make two types of plant stands to sell at the shows. Danny makes twig stands out of downed wood from his backyard and the yards of his neighbors, so his variable cost is minimal $($wood screws, glue, and so forth$).$ However, Danny has to purchase wood to make his oak plant stands. His unit prices and costs are as follows:

View the data.

The twig stands are more popular, so Danny sells four twig stands for every one oak stand. Bobby charges her friend $$255$ to share her booth at the craft shows $($after all, she has paid the entrance fees$).$ How many of each plant stand does Danny need to sell to break even? Will this affect the number of scarves Bobby needs to sell to break even? Explain.

Determine how many of each plant stand Danny needs to sell to breakeven. Begin by computing the weighted$-$average contribution margin per unit. First identify the formula labels, then complete the calculations step by step.

Data

$\backslash$table$[[$Sales price,Twig Stands,Oak Stands$],[$$$,17\mathrm{.}00,$$$,42\mathrm{.}00],[$Variable cost$,$$$,3\mathrm{.}50,$$$,11\mathrm{.}00]]$