19 an artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. the mosaic must be at least 3 feet tall and 5 feet wide. the tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. the word tiles come in two sizes: the smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. if the small tiles cost $3.50 each and the larger tiles cost $4.50 each, how many of each should be used to minimize the cost? what is the minimum cost?

Total tiles need - 30 large tiles and 0 small tiles

Minimum cost is $135

Step-by-step explanation:

Allow dimensions are

Smallest allowed dimensions are    

2 things need to be noticed

   1. smaller thee total size of final mosaic, cheaper the cost

   2.  Greater thee number of large tiles, cheaper the mosaic

   Place   to fully cover the size of rectangle

                       and

.

Therefore,total tiles need

 (& 0 small tiles).

The minimal cost is  

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this