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Mvelenhle's Jogging Suits are made of multi-colored fleece material. His tops have hoodies with drawstrings, elastic cuffs, and waistbands. On average, a jogging hoodie requires 2.5 m of fabric, 1.5 m of draw cord, 120 cm of elastic for the waistband, and 20 cm of elastic for each cuff.

Jogging pants have elastic waist and ankle bands. They are made from plain-colored fleece material. Each pair of jogging pants requires 1.9 m of fabric, 120 cm of elastic for the waistband, and 40 cm of elastic for the ankle bands.

The entire tracksuit uses one-third of a reel of cotton.

a) The cost of the material to make the tracksuit is as follows:
- Multi-colored fleece material at R30/m
- Plain colored fleece material at R25/m
- Elastic costs R2/m
- Drawstring costs R4/m
- A reel of cotton costs R15

Use the information above to complete the first section of the table below:
\begin{tabular}{|l|l|l|}
\hline \multicolumn{3}{|c|}{COST PRICE: JOGGING SUIT} \\
\hline & Price & Quantity needed per tracksuit \\
\hline Multi-colored fabric & R30/m & 2.5 m \\
\hline Plain fabric & R25/m & 1.9 m \\
\hline Elastic & R2/m & 1.8 m \\
\hline Drawstring & R4/m & 1.5 m \\
\hline Cotton & R15/3 & 1/3 reel \\
\hline Cost per tracksuit (material alone): & & \\
\hline Other variable cost: Electricity & & \\
\hline Variable cost per tracksuit (material and electricity) & & \\
\hline
\end{tabular}


Sagot :

Sure, let's fill out the table step-by-step based on the data provided:

### COST PRICE: JOGGIT SUIT

#### Multi-coloured Fabric
- Price:
[tex]\( R30 \)[/tex] per meter.
- Quantity needed per tracksuit:
[tex]\( 2.4 \)[/tex] meters for the top.
- Total cost for multi-coloured fabric:
[tex]\( R30 \times 2.4 = R72.00 \)[/tex]

#### Plain Fabric
- Price:
[tex]\( R20 \)[/tex] per meter.
- Quantity needed per tracksuit:
[tex]\( 1.9 \)[/tex] meters for the pants.
- Total cost for plain fabric:
[tex]\( R20 \times 1.9 = R38.00 \)[/tex]

#### Elastic
- Price:
[tex]\( R2 \)[/tex] per meter.
- Quantity needed per tracksuit:
[tex]\( 1.2 \)[/tex] meters for the waist band plus [tex]\( 20 \)[/tex] cm for each cuff (so [tex]\( 0.2 \times 2 \)[/tex] meters for cuffs). Hence, [tex]\( 1.2 + 0.4 = 1.6 \)[/tex] meters in total.
- Note: This needs simplification as units should be unified. It’s [tex]\( 160 \)[/tex] cm, converted into meters ([tex]\( 1.6 \)[/tex] meters).

- Total cost for elastic:
[tex]\((R2 \times 1.6)/100 = R0.032 \)[/tex]

#### Cord
- Price:
[tex]\( R4 \)[/tex] per meter.
- Quantity needed per tracksuit:
[tex]\( 1.5 \)[/tex] meters.
- Total cost for cord:
[tex]\( R4 \times 1.5 = R6.00 \)[/tex]

#### Cotton
- Price:
[tex]\( R15 \)[/tex] per reel.
- Quantity needed per tracksuit:
[tex]\( 1/3 \)[/tex] of a reel.
- Total cost for cotton:
[tex]\( R15 \times 1/3 = R5.00 \)[/tex]

#### Cost per Tracksuit (Material Alone)
- Total Material Cost:
[tex]\( R72.00 + R38.00 + R0.032 + R6.00 + R5.00 = R121.032 \)[/tex]

#### Other Variable Cost: Electricity
- Cost per tracksuit assumed for electricity is [tex]\( R5 \)[/tex].

#### Variable Cost per Tracksuit (Material and Electricity)
- Total Variable Cost:
[tex]\((R121.032 + R5) = R126.032 \)[/tex].

Here is the completed table:

\begin{tabular}{|l|r|c|}
\hline
\multicolumn{2}{|c|}{COST PRICE: JOGGIT SUIT} & \\
\hline
& Price (R) & Quantity needed per tracksuit \\
\hline
Multi-coloured fabric & 30 & 2.4 meters \\
\hline
Plain fabric & 20 & 1.9 meters \\
\hline
Elastic & 2 & 1.6 meters ([tex]\(160\)[/tex] cm) \\
\hline
Cord & 4 & 1.5 meters \\
\hline
Cotton & 15 & 1/3 reel \\
\hline
Cost per tracksuit (material alone): & & R121.032 \\
\hline
Other variable cost: Electricity & & R5 \\
\hline
Variable cost per tracksuit (material and electricity) & & R126.032 \\
\hline
\end{tabular}

I hope this helps! Each cost was calculated based on the given prices and the quantities needed per tracksuit.
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