A Small Company Produces Two Goods, Swords and Plowshares

Multiple Choice

A small company produces two goods, swords and plowshares.The company has 100 type alpha employees and 100 type beta employees.If an alpha devotes all his time to producing swords, he can make 4 swords per week.If he devotes all his time to producing plowshares, he can make 20 plowshares per week.A beta can produce either 1 plowshare per week or 1 sword per week.The company wants to produce 413 swords and as many plowshares as it can.How many type betas should it employ at making swords?

A) 80
B) 0
C) 100
D) 13
E) None of the above.