Why the total cost is taken as the product of toys and articles - Why not the sum- -160-Solution -160-to -160-Q-3 -160-toy -160-is -160-55 -160-minus -160-the -160-number -160-of -160-toys -160-produced -160-that -160-day -160-i-e- -160-X- -160-So- -160-the -160-total -160-production -160-cost -160-would -160-be -160-the -160-product -160-of -160-the -160-cost -160-of -160-a -160-single -160-toy -160-and -160-the -160-total -160-number -160-of -160-toys -160-i-e- -160-product -160-of -160-55 -160- -160-x- -160-and -160-x- -160-Now- -160-it -160-is -160-given -160-here -160-that -160-total -160-production -160-cost -160-of -160-that -160-day -160-was -160-Rs-750- -160-Therefore- -160-x55-x -160- -160-75055x-x2- -160-750x2-55x-750-0 -160-Hence- -160-this -160-is -160-the -160-required -160-quadratic -160-equation- -160-

Dear student Consider #160;the #160;case #160;when #160;cost #160;of #160;1 #160;toffee=Rs #160;5So #160;cost #160;of #160;5 #160;toffe ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Polynomial

Why the total...

Question

Why the total cost is taken as the product of toys and articles ? Why not the sum?
$S o l u t i o n t o Q . 3 t o y i s 55 m i n u s t h e n u m b e r o f t o y s p r o d u c e d t h a t d a y i . e .' X' . S o, t h e t o t a l p r o d u c t i o n \cos t w o u l d b e t h e p r o d u c t o f t h e \cos t o f a \sin g l e t o y a n d t h e t o t a l n u m b e r o f t o y s i . e . p r o d u c t o f' 55 - x' a n d' x' . N o w, i t i s g i v e n h e r e t h a t t o t a l p r o d u c t i o n \cos t o f t h a t d a y w a s R s . 750 . T h e r e f o r e, (x) (55 - x) = 750 55 x - x^{2} = 750 x^{2} - 55 x + 750 = 0 H e n c e, t h i s i s t h e r e q u i r e d q u a d r a t i c e q u a t i o n .$

Open in App

Solution

Dear student
$C o n s i d e r t h e c a s e w h e n \cos t o f 1 t o f f e e = R s 5 S o \cos t o f 5 t o f f e e s i s = R s 5 \times 5 = R s 25 S o s a m e c o n c e p t h a s b e e n u s e d h e r e . T o t a l p r o d u c t i o n \cos t w o u l d b e t h e p r o d u c t o f \cos t o f a \sin g l e t o y a n d t o t a l n u m b e r o f t o y s . i . e . (55 - x) x$
Regards

Suggest Corrections

Similar questions

Q. A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was RS. 750. If x denotes the number of toys produced that day, the quadratic equation frormed to find x is

x^{2}

- 55x + 750 = 0.

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation of find x.

The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. Let’s say $x$ toys were produced on a day, what is the total cost of production in terms of $x$ ?

Q. A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs.750. If x denotes the maximum number of toys produced that day, find x.

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. Find out the number of toys produced on that day.

Join BYJU'S Learning Program

Dear student Consider the case when cost of 1 toffee=Rs 5So cost of 5 toffees is =Rs 5×5=Rs 25So same concept has been used here.Total production cost would be the product of cost of a single toy and total number of toys .i.e.55-xx Regards