Find a linear function that models the cost, C, to produce x toys given the rate

Question

Find a linear function that models the cost, C, to produce x toys given the rate of change and initial output value. The cost to produce plastic toys increases by 90 cents per toy produced. The fixed cost is 40 dollars. C(x) = dollars Write a linear model for the amount of usable fabric sheeting, F, manufactured in t minutes given the rate of change and initial output value. Fabric sheeting is manufactured on a loom at 7.25 square feet per minute. The first five square feet of the fabric is unusable. F(t) = ft^2 is the amount of usable fabric sheeting manufactured in t minutes.

Explanation / Answer

A)

Fixed cost per toy =$40

The cost to produce x unit of toys = number of x unit * cost of 1 unit to produce = $ Cx

If the cost of production of each unit of toy is increased by 90 % then,

new cost of production of each unit = $ 1.9CX

SO, the total cost C(x) = $ [1.9CX + 40]

B) Here available area = 7.25 sq. unit

so, production of fabric in time t minutes ,

f(t) = 7.25 t - 5

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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