You are choosing between two plans at a discount warehouse. Plan A offers an ann

Question

You are choosing between two plans at a discount warehouse. Plan A offers an annual membership of $100 and you pay 80% of the manufacturer's recommended list price. Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturer's list price. a. Express the total yearly amount paid to the warehouse under plan A, f, as a function of the dollars of merchandise purchased during the year, x. te imtngars r) b. Express the total yearly amount paid to the warehouse under plan B, g, as a function of the dollars of merchandise purchased during the year, X. g(x)-(Use integers or decimals for any numbers in the expression.) c. How many dollars of merchandise would you have to purchase in a year to pay the same amount under both plans? What will be the total yearly amount paid to the warehouse for each plan? Dollars of merchandise (Simplify your answer.) The total yearly amount paid to the warehouse for each plan is s(Simplify your answer)

Explanation / Answer

a. f(x) = fixed cost + 80% of x = 100+0.8x

b. g(x) = 40+0.9x

c .f(x) = g(x)

100 +0.8x = 40 + 0.9x

60 = 0.1x

x = 600

Dollars of merchandise = $ 600

The total yearly amount paid to the warehouse for each plan is $100+(0.8* 600) = $ 580

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.