Witches brew company manufactures and sells three potions that all use gargoyle eyelashes as an Witch As an ingredient. The high demand for all three of these potions exceeds the supply of gargoyle eyelashes that witches brew is able to buy from its supplier. Information is as follows: Beauty potion,: selling price $100, variable cost per bottle 70, Eyelashes required Per bottle 2, sales demand in units 1, 000. Luck potion: selling price 120, vc per bottle 84, eyelashes required 3, sales demand in units 1, 500 Smart potion: selling price 200, vc per bottle 130, eyelashes 5, Sales demand 1800

each year witch's brew is only able to budy 6000 garagoyle eyelashes .annual fixed cost at wich's brew are 45000

required

a) how many bottles of eachpotion should wich's brew make this year to maximixe profit?

b)based on these restrictions, what is the maximum annual operatin income that witch's brew can make each year?

c) what is the maximum price witch's bre would pay for 30 more gargolye eyelashes if they wre available?